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Simplifying 2(3x + 6) = 3 + -1(2x + 4) Reorder the terms: 2(6 + 3x) = 3 + -1(2x + 4) (6 * 2 + 3x * 2) = 3 + -1(2x + 4) (12 + 6x) = 3 + -1(2x + 4) Reorder the terms: 12 + 6x = 3 + -1(4 + 2x) 12 + 6x = 3 + (4 * -1 + 2x * -1) 12 + 6x = 3 + (-4 + -2x) Combine like terms: 3 + -4 = -1 12 + 6x = -1 + -2x Solving 12 + 6x = -1 + -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. 12 + 6x + 2x = -1 + -2x + 2x Combine like terms: 6x + 2x = 8x 12 + 8x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 8x = -1 + 0 12 + 8x = -1 Add '-12' to each side of the equation. 12 + -12 + 8x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -1 + -12 8x = -1 + -12 Combine like terms: -1 + -12 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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