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Simplifying (2x + -4) * 0.3 + -1(x + -3) * 0.2 = 9x + -1(x + -1) * 0.4 Reorder the terms: (-4 + 2x) * 0.3 + -1(x + -3) * 0.2 = 9x + -1(x + -1) * 0.4 Reorder the terms for easier multiplication: 0.3(-4 + 2x) + -1(x + -3) * 0.2 = 9x + -1(x + -1) * 0.4 (-4 * 0.3 + 2x * 0.3) + -1(x + -3) * 0.2 = 9x + -1(x + -1) * 0.4 (-1.2 + 0.6x) + -1(x + -3) * 0.2 = 9x + -1(x + -1) * 0.4 Reorder the terms: -1.2 + 0.6x + -1(-3 + x) * 0.2 = 9x + -1(x + -1) * 0.4 Reorder the terms for easier multiplication: -1.2 + 0.6x + -1 * 0.2(-3 + x) = 9x + -1(x + -1) * 0.4 Multiply -1 * 0.2 -1.2 + 0.6x + -0.2(-3 + x) = 9x + -1(x + -1) * 0.4 -1.2 + 0.6x + (-3 * -0.2 + x * -0.2) = 9x + -1(x + -1) * 0.4 -1.2 + 0.6x + (0.6 + -0.2x) = 9x + -1(x + -1) * 0.4 Reorder the terms: -1.2 + 0.6 + 0.6x + -0.2x = 9x + -1(x + -1) * 0.4 Combine like terms: -1.2 + 0.6 = -0.6 -0.6 + 0.6x + -0.2x = 9x + -1(x + -1) * 0.4 Combine like terms: 0.6x + -0.2x = 0.4x -0.6 + 0.4x = 9x + -1(x + -1) * 0.4 Reorder the terms: -0.6 + 0.4x = 9x + -1(-1 + x) * 0.4 Reorder the terms for easier multiplication: -0.6 + 0.4x = 9x + -1 * 0.4(-1 + x) Multiply -1 * 0.4 -0.6 + 0.4x = 9x + -0.4(-1 + x) -0.6 + 0.4x = 9x + (-1 * -0.4 + x * -0.4) -0.6 + 0.4x = 9x + (0.4 + -0.4x) Reorder the terms: -0.6 + 0.4x = 0.4 + 9x + -0.4x Combine like terms: 9x + -0.4x = 8.6x -0.6 + 0.4x = 0.4 + 8.6x Solving -0.6 + 0.4x = 0.4 + 8.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.6x' to each side of the equation. -0.6 + 0.4x + -8.6x = 0.4 + 8.6x + -8.6x Combine like terms: 0.4x + -8.6x = -8.2x -0.6 + -8.2x = 0.4 + 8.6x + -8.6x Combine like terms: 8.6x + -8.6x = 0.0 -0.6 + -8.2x = 0.4 + 0.0 -0.6 + -8.2x = 0.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + -8.2x = 0.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -8.2x = 0.4 + 0.6 -8.2x = 0.4 + 0.6 Combine like terms: 0.4 + 0.6 = 1 -8.2x = 1 Divide each side by '-8.2'. x = -0.1219512195 Simplifying x = -0.1219512195
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