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Simplifying 12 + -3(2x + 1) = 5x + -3(5 + x) Reorder the terms: 12 + -3(1 + 2x) = 5x + -3(5 + x) 12 + (1 * -3 + 2x * -3) = 5x + -3(5 + x) 12 + (-3 + -6x) = 5x + -3(5 + x) Combine like terms: 12 + -3 = 9 9 + -6x = 5x + -3(5 + x) 9 + -6x = 5x + (5 * -3 + x * -3) 9 + -6x = 5x + (-15 + -3x) Reorder the terms: 9 + -6x = -15 + 5x + -3x Combine like terms: 5x + -3x = 2x 9 + -6x = -15 + 2x Solving 9 + -6x = -15 + 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. 9 + -6x + -2x = -15 + 2x + -2x Combine like terms: -6x + -2x = -8x 9 + -8x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -8x = -15 + 0 9 + -8x = -15 Add '-9' to each side of the equation. 9 + -9 + -8x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -15 + -9 -8x = -15 + -9 Combine like terms: -15 + -9 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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