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Simplifying 12 + -3(2x + 3) = 1 + -4(2 + -1x) Reorder the terms: 12 + -3(3 + 2x) = 1 + -4(2 + -1x) 12 + (3 * -3 + 2x * -3) = 1 + -4(2 + -1x) 12 + (-9 + -6x) = 1 + -4(2 + -1x) Combine like terms: 12 + -9 = 3 3 + -6x = 1 + -4(2 + -1x) 3 + -6x = 1 + (2 * -4 + -1x * -4) 3 + -6x = 1 + (-8 + 4x) Combine like terms: 1 + -8 = -7 3 + -6x = -7 + 4x Solving 3 + -6x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -6x + -4x = -7 + 4x + -4x Combine like terms: -6x + -4x = -10x 3 + -10x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -10x = -7 + 0 3 + -10x = -7 Add '-3' to each side of the equation. 3 + -3 + -10x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -7 + -3 -10x = -7 + -3 Combine like terms: -7 + -3 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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