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Simplifying 4(x + 2) + -12 = 3(x + -2) Reorder the terms: 4(2 + x) + -12 = 3(x + -2) (2 * 4 + x * 4) + -12 = 3(x + -2) (8 + 4x) + -12 = 3(x + -2) Reorder the terms: 8 + -12 + 4x = 3(x + -2) Combine like terms: 8 + -12 = -4 -4 + 4x = 3(x + -2) Reorder the terms: -4 + 4x = 3(-2 + x) -4 + 4x = (-2 * 3 + x * 3) -4 + 4x = (-6 + 3x) Solving -4 + 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. -4 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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