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Simplifying 7(x + 6) + 8(x + 6) = 5x + -5 Reorder the terms: 7(6 + x) + 8(x + 6) = 5x + -5 (6 * 7 + x * 7) + 8(x + 6) = 5x + -5 (42 + 7x) + 8(x + 6) = 5x + -5 Reorder the terms: 42 + 7x + 8(6 + x) = 5x + -5 42 + 7x + (6 * 8 + x * 8) = 5x + -5 42 + 7x + (48 + 8x) = 5x + -5 Reorder the terms: 42 + 48 + 7x + 8x = 5x + -5 Combine like terms: 42 + 48 = 90 90 + 7x + 8x = 5x + -5 Combine like terms: 7x + 8x = 15x 90 + 15x = 5x + -5 Reorder the terms: 90 + 15x = -5 + 5x Solving 90 + 15x = -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. 90 + 15x + -5x = -5 + 5x + -5x Combine like terms: 15x + -5x = 10x 90 + 10x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + 10x = -5 + 0 90 + 10x = -5 Add '-90' to each side of the equation. 90 + -90 + 10x = -5 + -90 Combine like terms: 90 + -90 = 0 0 + 10x = -5 + -90 10x = -5 + -90 Combine like terms: -5 + -90 = -95 10x = -95 Divide each side by '10'. x = -9.5 Simplifying x = -9.5
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