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Simplifying 8 + -1(x + -15) = 6x + 3(x + 1) Reorder the terms: 8 + -1(-15 + x) = 6x + 3(x + 1) 8 + (-15 * -1 + x * -1) = 6x + 3(x + 1) 8 + (15 + -1x) = 6x + 3(x + 1) Combine like terms: 8 + 15 = 23 23 + -1x = 6x + 3(x + 1) Reorder the terms: 23 + -1x = 6x + 3(1 + x) 23 + -1x = 6x + (1 * 3 + x * 3) 23 + -1x = 6x + (3 + 3x) Reorder the terms: 23 + -1x = 3 + 6x + 3x Combine like terms: 6x + 3x = 9x 23 + -1x = 3 + 9x Solving 23 + -1x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 23 + -1x + -9x = 3 + 9x + -9x Combine like terms: -1x + -9x = -10x 23 + -10x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 23 + -10x = 3 + 0 23 + -10x = 3 Add '-23' to each side of the equation. 23 + -23 + -10x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -10x = 3 + -23 -10x = 3 + -23 Combine like terms: 3 + -23 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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