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Simplifying (x + -3) * 4 + -5(x + -2) = 12x + -1(2x + -4) * 3 Reorder the terms: (-3 + x) * 4 + -5(x + -2) = 12x + -1(2x + -4) * 3 Reorder the terms for easier multiplication: 4(-3 + x) + -5(x + -2) = 12x + -1(2x + -4) * 3 (-3 * 4 + x * 4) + -5(x + -2) = 12x + -1(2x + -4) * 3 (-12 + 4x) + -5(x + -2) = 12x + -1(2x + -4) * 3 Reorder the terms: -12 + 4x + -5(-2 + x) = 12x + -1(2x + -4) * 3 -12 + 4x + (-2 * -5 + x * -5) = 12x + -1(2x + -4) * 3 -12 + 4x + (10 + -5x) = 12x + -1(2x + -4) * 3 Reorder the terms: -12 + 10 + 4x + -5x = 12x + -1(2x + -4) * 3 Combine like terms: -12 + 10 = -2 -2 + 4x + -5x = 12x + -1(2x + -4) * 3 Combine like terms: 4x + -5x = -1x -2 + -1x = 12x + -1(2x + -4) * 3 Reorder the terms: -2 + -1x = 12x + -1(-4 + 2x) * 3 Reorder the terms for easier multiplication: -2 + -1x = 12x + -1 * 3(-4 + 2x) Multiply -1 * 3 -2 + -1x = 12x + -3(-4 + 2x) -2 + -1x = 12x + (-4 * -3 + 2x * -3) -2 + -1x = 12x + (12 + -6x) Reorder the terms: -2 + -1x = 12 + 12x + -6x Combine like terms: 12x + -6x = 6x -2 + -1x = 12 + 6x Solving -2 + -1x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -1x + -6x = 12 + 6x + -6x Combine like terms: -1x + -6x = -7x -2 + -7x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -7x = 12 + 0 -2 + -7x = 12 Add '2' to each side of the equation. -2 + 2 + -7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 12 + 2 -7x = 12 + 2 Combine like terms: 12 + 2 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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