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Simplifying 3(x + -1) + 12 = 4x + -3 + 2x Reorder the terms: 3(-1 + x) + 12 = 4x + -3 + 2x (-1 * 3 + x * 3) + 12 = 4x + -3 + 2x (-3 + 3x) + 12 = 4x + -3 + 2x Reorder the terms: -3 + 12 + 3x = 4x + -3 + 2x Combine like terms: -3 + 12 = 9 9 + 3x = 4x + -3 + 2x Reorder the terms: 9 + 3x = -3 + 4x + 2x Combine like terms: 4x + 2x = 6x 9 + 3x = -3 + 6x Solving 9 + 3x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 3x + -6x = -3 + 6x + -6x Combine like terms: 3x + -6x = -3x 9 + -3x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -3x = -3 + 0 9 + -3x = -3 Add '-9' to each side of the equation. 9 + -9 + -3x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -3 + -9 -3x = -3 + -9 Combine like terms: -3 + -9 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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