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Simplifying 9x + -1(x + -3) = 7(x + 1) + 8 Reorder the terms: 9x + -1(-3 + x) = 7(x + 1) + 8 9x + (-3 * -1 + x * -1) = 7(x + 1) + 8 9x + (3 + -1x) = 7(x + 1) + 8 Reorder the terms: 3 + 9x + -1x = 7(x + 1) + 8 Combine like terms: 9x + -1x = 8x 3 + 8x = 7(x + 1) + 8 Reorder the terms: 3 + 8x = 7(1 + x) + 8 3 + 8x = (1 * 7 + x * 7) + 8 3 + 8x = (7 + 7x) + 8 Reorder the terms: 3 + 8x = 7 + 8 + 7x Combine like terms: 7 + 8 = 15 3 + 8x = 15 + 7x Solving 3 + 8x = 15 + 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. 3 + 8x + -7x = 15 + 7x + -7x Combine like terms: 8x + -7x = 1x 3 + 1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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