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Simplifying 8(x + 5) + 5(x + 5) = 5x + -5 Reorder the terms: 8(5 + x) + 5(x + 5) = 5x + -5 (5 * 8 + x * 8) + 5(x + 5) = 5x + -5 (40 + 8x) + 5(x + 5) = 5x + -5 Reorder the terms: 40 + 8x + 5(5 + x) = 5x + -5 40 + 8x + (5 * 5 + x * 5) = 5x + -5 40 + 8x + (25 + 5x) = 5x + -5 Reorder the terms: 40 + 25 + 8x + 5x = 5x + -5 Combine like terms: 40 + 25 = 65 65 + 8x + 5x = 5x + -5 Combine like terms: 8x + 5x = 13x 65 + 13x = 5x + -5 Reorder the terms: 65 + 13x = -5 + 5x Solving 65 + 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. 65 + 13x + -5x = -5 + 5x + -5x Combine like terms: 13x + -5x = 8x 65 + 8x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 65 + 8x = -5 + 0 65 + 8x = -5 Add '-65' to each side of the equation. 65 + -65 + 8x = -5 + -65 Combine like terms: 65 + -65 = 0 0 + 8x = -5 + -65 8x = -5 + -65 Combine like terms: -5 + -65 = -70 8x = -70 Divide each side by '8'. x = -8.75 Simplifying x = -8.75
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