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Simplifying 9(x + 6) + 6(x + 6) = 7x + -7 Reorder the terms: 9(6 + x) + 6(x + 6) = 7x + -7 (6 * 9 + x * 9) + 6(x + 6) = 7x + -7 (54 + 9x) + 6(x + 6) = 7x + -7 Reorder the terms: 54 + 9x + 6(6 + x) = 7x + -7 54 + 9x + (6 * 6 + x * 6) = 7x + -7 54 + 9x + (36 + 6x) = 7x + -7 Reorder the terms: 54 + 36 + 9x + 6x = 7x + -7 Combine like terms: 54 + 36 = 90 90 + 9x + 6x = 7x + -7 Combine like terms: 9x + 6x = 15x 90 + 15x = 7x + -7 Reorder the terms: 90 + 15x = -7 + 7x Solving 90 + 15x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 90 + 15x + -7x = -7 + 7x + -7x Combine like terms: 15x + -7x = 8x 90 + 8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 90 + 8x = -7 + 0 90 + 8x = -7 Add '-90' to each side of the equation. 90 + -90 + 8x = -7 + -90 Combine like terms: 90 + -90 = 0 0 + 8x = -7 + -90 8x = -7 + -90 Combine like terms: -7 + -90 = -97 8x = -97 Divide each side by '8'. x = -12.125 Simplifying x = -12.125
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