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Simplifying 4(3x + 12 + -1x + 2) = 2x + 2 Reorder the terms: 4(12 + 2 + 3x + -1x) = 2x + 2 Combine like terms: 12 + 2 = 14 4(14 + 3x + -1x) = 2x + 2 Combine like terms: 3x + -1x = 2x 4(14 + 2x) = 2x + 2 (14 * 4 + 2x * 4) = 2x + 2 (56 + 8x) = 2x + 2 Reorder the terms: 56 + 8x = 2 + 2x Solving 56 + 8x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 56 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x 56 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 56 + 6x = 2 + 0 56 + 6x = 2 Add '-56' to each side of the equation. 56 + -56 + 6x = 2 + -56 Combine like terms: 56 + -56 = 0 0 + 6x = 2 + -56 6x = 2 + -56 Combine like terms: 2 + -56 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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