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Simplifying 0.2x + -0.3(2 + -4x) = -0.9(x + -7) 0.2x + (2 * -0.3 + -4x * -0.3) = -0.9(x + -7) 0.2x + (-0.6 + 1.2x) = -0.9(x + -7) Reorder the terms: -0.6 + 0.2x + 1.2x = -0.9(x + -7) Combine like terms: 0.2x + 1.2x = 1.4x -0.6 + 1.4x = -0.9(x + -7) Reorder the terms: -0.6 + 1.4x = -0.9(-7 + x) -0.6 + 1.4x = (-7 * -0.9 + x * -0.9) -0.6 + 1.4x = (6.3 + -0.9x) Solving -0.6 + 1.4x = 6.3 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -0.6 + 1.4x + 0.9x = 6.3 + -0.9x + 0.9x Combine like terms: 1.4x + 0.9x = 2.3x -0.6 + 2.3x = 6.3 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -0.6 + 2.3x = 6.3 + 0.0 -0.6 + 2.3x = 6.3 Add '0.6' to each side of the equation. -0.6 + 0.6 + 2.3x = 6.3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 2.3x = 6.3 + 0.6 2.3x = 6.3 + 0.6 Combine like terms: 6.3 + 0.6 = 6.9 2.3x = 6.9 Divide each side by '2.3'. x = 3 Simplifying x = 3
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