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Simplifying 3(x + 1) + 1 = 8(x + -13) + -2 Reorder the terms: 3(1 + x) + 1 = 8(x + -13) + -2 (1 * 3 + x * 3) + 1 = 8(x + -13) + -2 (3 + 3x) + 1 = 8(x + -13) + -2 Reorder the terms: 3 + 1 + 3x = 8(x + -13) + -2 Combine like terms: 3 + 1 = 4 4 + 3x = 8(x + -13) + -2 Reorder the terms: 4 + 3x = 8(-13 + x) + -2 4 + 3x = (-13 * 8 + x * 8) + -2 4 + 3x = (-104 + 8x) + -2 Reorder the terms: 4 + 3x = -104 + -2 + 8x Combine like terms: -104 + -2 = -106 4 + 3x = -106 + 8x Solving 4 + 3x = -106 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 3x + -8x = -106 + 8x + -8x Combine like terms: 3x + -8x = -5x 4 + -5x = -106 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -5x = -106 + 0 4 + -5x = -106 Add '-4' to each side of the equation. 4 + -4 + -5x = -106 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -106 + -4 -5x = -106 + -4 Combine like terms: -106 + -4 = -110 -5x = -110 Divide each side by '-5'. x = 22 Simplifying x = 22
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