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Simplifying 4(x + -4) + -2x = 3(x + -2) Reorder the terms: 4(-4 + x) + -2x = 3(x + -2) (-4 * 4 + x * 4) + -2x = 3(x + -2) (-16 + 4x) + -2x = 3(x + -2) Combine like terms: 4x + -2x = 2x -16 + 2x = 3(x + -2) Reorder the terms: -16 + 2x = 3(-2 + x) -16 + 2x = (-2 * 3 + x * 3) -16 + 2x = (-6 + 3x) Solving -16 + 2x = -6 + 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. -16 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x -16 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -1x = -6 + 0 -16 + -1x = -6 Add '16' to each side of the equation. -16 + 16 + -1x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -6 + 16 -1x = -6 + 16 Combine like terms: -6 + 16 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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