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Simplifying -2(x + 2) = 3x + -6x + 4(x + -4) Reorder the terms: -2(2 + x) = 3x + -6x + 4(x + -4) (2 * -2 + x * -2) = 3x + -6x + 4(x + -4) (-4 + -2x) = 3x + -6x + 4(x + -4) Reorder the terms: -4 + -2x = 3x + -6x + 4(-4 + x) -4 + -2x = 3x + -6x + (-4 * 4 + x * 4) -4 + -2x = 3x + -6x + (-16 + 4x) Reorder the terms: -4 + -2x = -16 + 3x + -6x + 4x Combine like terms: 3x + -6x = -3x -4 + -2x = -16 + -3x + 4x Combine like terms: -3x + 4x = 1x -4 + -2x = -16 + 1x Solving -4 + -2x = -16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -2x + -1x = -16 + 1x + -1x Combine like terms: -2x + -1x = -3x -4 + -3x = -16 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -3x = -16 + 0 -4 + -3x = -16 Add '4' to each side of the equation. -4 + 4 + -3x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -16 + 4 -3x = -16 + 4 Combine like terms: -16 + 4 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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