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Simplifying 3(x + -4) = -3(x + -2) Reorder the terms: 3(-4 + x) = -3(x + -2) (-4 * 3 + x * 3) = -3(x + -2) (-12 + 3x) = -3(x + -2) Reorder the terms: -12 + 3x = -3(-2 + x) -12 + 3x = (-2 * -3 + x * -3) -12 + 3x = (6 + -3x) Solving -12 + 3x = 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. -12 + 3x + 3x = 6 + -3x + 3x Combine like terms: 3x + 3x = 6x -12 + 6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 6x = 6 + 0 -12 + 6x = 6 Add '12' to each side of the equation. -12 + 12 + 6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 6 + 12 6x = 6 + 12 Combine like terms: 6 + 12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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