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Simplifying -4(3 + x) + 2 = -3(x + -2) (3 * -4 + x * -4) + 2 = -3(x + -2) (-12 + -4x) + 2 = -3(x + -2) Reorder the terms: -12 + 2 + -4x = -3(x + -2) Combine like terms: -12 + 2 = -10 -10 + -4x = -3(x + -2) Reorder the terms: -10 + -4x = -3(-2 + x) -10 + -4x = (-2 * -3 + x * -3) -10 + -4x = (6 + -3x) Solving -10 + -4x = 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. -10 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -10 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -1x = 6 + 0 -10 + -1x = 6 Add '10' to each side of the equation. -10 + 10 + -1x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 6 + 10 -1x = 6 + 10 Combine like terms: 6 + 10 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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