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Simplifying 2(3 + x) + 1 = 5(x + 8) + -3 (3 * 2 + x * 2) + 1 = 5(x + 8) + -3 (6 + 2x) + 1 = 5(x + 8) + -3 Reorder the terms: 6 + 1 + 2x = 5(x + 8) + -3 Combine like terms: 6 + 1 = 7 7 + 2x = 5(x + 8) + -3 Reorder the terms: 7 + 2x = 5(8 + x) + -3 7 + 2x = (8 * 5 + x * 5) + -3 7 + 2x = (40 + 5x) + -3 Reorder the terms: 7 + 2x = 40 + -3 + 5x Combine like terms: 40 + -3 = 37 7 + 2x = 37 + 5x Solving 7 + 2x = 37 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 2x + -5x = 37 + 5x + -5x Combine like terms: 2x + -5x = -3x 7 + -3x = 37 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -3x = 37 + 0 7 + -3x = 37 Add '-7' to each side of the equation. 7 + -7 + -3x = 37 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 37 + -7 -3x = 37 + -7 Combine like terms: 37 + -7 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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