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Simplifying (x + -4) + -1(2x + 3) * 0.2 = 3(x + -4) Reorder the terms: (-4 + x) + -1(2x + 3) * 0.2 = 3(x + -4) Remove parenthesis around (-4 + x) -4 + x + -1(2x + 3) * 0.2 = 3(x + -4) Reorder the terms: -4 + x + -1(3 + 2x) * 0.2 = 3(x + -4) Reorder the terms for easier multiplication: -4 + x + -1 * 0.2(3 + 2x) = 3(x + -4) Multiply -1 * 0.2 -4 + x + -0.2(3 + 2x) = 3(x + -4) -4 + x + (3 * -0.2 + 2x * -0.2) = 3(x + -4) -4 + x + (-0.6 + -0.4x) = 3(x + -4) Reorder the terms: -4 + -0.6 + x + -0.4x = 3(x + -4) Combine like terms: -4 + -0.6 = -4.6 -4.6 + x + -0.4x = 3(x + -4) Combine like terms: x + -0.4x = 0.6x -4.6 + 0.6x = 3(x + -4) Reorder the terms: -4.6 + 0.6x = 3(-4 + x) -4.6 + 0.6x = (-4 * 3 + x * 3) -4.6 + 0.6x = (-12 + 3x) Solving -4.6 + 0.6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4.6 + 0.6x + -3x = -12 + 3x + -3x Combine like terms: 0.6x + -3x = -2.4x -4.6 + -2.4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4.6 + -2.4x = -12 + 0 -4.6 + -2.4x = -12 Add '4.6' to each side of the equation. -4.6 + 4.6 + -2.4x = -12 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -2.4x = -12 + 4.6 -2.4x = -12 + 4.6 Combine like terms: -12 + 4.6 = -7.4 -2.4x = -7.4 Divide each side by '-2.4'. x = 3.083333333 Simplifying x = 3.083333333
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