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Simplifying 4(-2 + x) = 3(x + -4) + -1 (-2 * 4 + x * 4) = 3(x + -4) + -1 (-8 + 4x) = 3(x + -4) + -1 Reorder the terms: -8 + 4x = 3(-4 + x) + -1 -8 + 4x = (-4 * 3 + x * 3) + -1 -8 + 4x = (-12 + 3x) + -1 Reorder the terms: -8 + 4x = -12 + -1 + 3x Combine like terms: -12 + -1 = -13 -8 + 4x = -13 + 3x Solving -8 + 4x = -13 + 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. -8 + 4x + -3x = -13 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = -13 + 0 -8 + 1x = -13 Add '8' to each side of the equation. -8 + 8 + 1x = -13 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -13 + 8 1x = -13 + 8 Combine like terms: -13 + 8 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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