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Simplifying 8(x + 1) + 5(x + 1) = 5x + -5 Reorder the terms: 8(1 + x) + 5(x + 1) = 5x + -5 (1 * 8 + x * 8) + 5(x + 1) = 5x + -5 (8 + 8x) + 5(x + 1) = 5x + -5 Reorder the terms: 8 + 8x + 5(1 + x) = 5x + -5 8 + 8x + (1 * 5 + x * 5) = 5x + -5 8 + 8x + (5 + 5x) = 5x + -5 Reorder the terms: 8 + 5 + 8x + 5x = 5x + -5 Combine like terms: 8 + 5 = 13 13 + 8x + 5x = 5x + -5 Combine like terms: 8x + 5x = 13x 13 + 13x = 5x + -5 Reorder the terms: 13 + 13x = -5 + 5x Solving 13 + 13x = -5 + 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. 13 + 13x + -5x = -5 + 5x + -5x Combine like terms: 13x + -5x = 8x 13 + 8x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 8x = -5 + 0 13 + 8x = -5 Add '-13' to each side of the equation. 13 + -13 + 8x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = -5 + -13 8x = -5 + -13 Combine like terms: -5 + -13 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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