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Simplifying 9(x + 1) + 6(x + 1) = 7x Reorder the terms: 9(1 + x) + 6(x + 1) = 7x (1 * 9 + x * 9) + 6(x + 1) = 7x (9 + 9x) + 6(x + 1) = 7x Reorder the terms: 9 + 9x + 6(1 + x) = 7x 9 + 9x + (1 * 6 + x * 6) = 7x 9 + 9x + (6 + 6x) = 7x Reorder the terms: 9 + 6 + 9x + 6x = 7x Combine like terms: 9 + 6 = 15 15 + 9x + 6x = 7x Combine like terms: 9x + 6x = 15x 15 + 15x = 7x Solving 15 + 15x = 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. 15 + 15x + -7x = 7x + -7x Combine like terms: 15x + -7x = 8x 15 + 8x = 7x + -7x Combine like terms: 7x + -7x = 0 15 + 8x = 0 Add '-15' to each side of the equation. 15 + -15 + 8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 0 + -15 8x = 0 + -15 Combine like terms: 0 + -15 = -15 8x = -15 Divide each side by '8'. x = -1.875 Simplifying x = -1.875
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