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Simplifying 8(x + 5) + 5(x + 5) = 6x + -6 Reorder the terms: 8(5 + x) + 5(x + 5) = 6x + -6 (5 * 8 + x * 8) + 5(x + 5) = 6x + -6 (40 + 8x) + 5(x + 5) = 6x + -6 Reorder the terms: 40 + 8x + 5(5 + x) = 6x + -6 40 + 8x + (5 * 5 + x * 5) = 6x + -6 40 + 8x + (25 + 5x) = 6x + -6 Reorder the terms: 40 + 25 + 8x + 5x = 6x + -6 Combine like terms: 40 + 25 = 65 65 + 8x + 5x = 6x + -6 Combine like terms: 8x + 5x = 13x 65 + 13x = 6x + -6 Reorder the terms: 65 + 13x = -6 + 6x Solving 65 + 13x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 65 + 13x + -6x = -6 + 6x + -6x Combine like terms: 13x + -6x = 7x 65 + 7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 65 + 7x = -6 + 0 65 + 7x = -6 Add '-65' to each side of the equation. 65 + -65 + 7x = -6 + -65 Combine like terms: 65 + -65 = 0 0 + 7x = -6 + -65 7x = -6 + -65 Combine like terms: -6 + -65 = -71 7x = -71 Divide each side by '7'. x = -10.14285714 Simplifying x = -10.14285714
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