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Simplifying 3(x + 8) + -1 = -2(x + 6) Reorder the terms: 3(8 + x) + -1 = -2(x + 6) (8 * 3 + x * 3) + -1 = -2(x + 6) (24 + 3x) + -1 = -2(x + 6) Reorder the terms: 24 + -1 + 3x = -2(x + 6) Combine like terms: 24 + -1 = 23 23 + 3x = -2(x + 6) Reorder the terms: 23 + 3x = -2(6 + x) 23 + 3x = (6 * -2 + x * -2) 23 + 3x = (-12 + -2x) Solving 23 + 3x = -12 + -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. 23 + 3x + 2x = -12 + -2x + 2x Combine like terms: 3x + 2x = 5x 23 + 5x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 5x = -12 + 0 23 + 5x = -12 Add '-23' to each side of the equation. 23 + -23 + 5x = -12 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = -12 + -23 5x = -12 + -23 Combine like terms: -12 + -23 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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