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Simplifying 6(x + 9) + -1(-2x + -9) = 7x Reorder the terms: 6(9 + x) + -1(-2x + -9) = 7x (9 * 6 + x * 6) + -1(-2x + -9) = 7x (54 + 6x) + -1(-2x + -9) = 7x Reorder the terms: 54 + 6x + -1(-9 + -2x) = 7x 54 + 6x + (-9 * -1 + -2x * -1) = 7x 54 + 6x + (9 + 2x) = 7x Reorder the terms: 54 + 9 + 6x + 2x = 7x Combine like terms: 54 + 9 = 63 63 + 6x + 2x = 7x Combine like terms: 6x + 2x = 8x 63 + 8x = 7x Solving 63 + 8x = 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. 63 + 8x + -7x = 7x + -7x Combine like terms: 8x + -7x = 1x 63 + 1x = 7x + -7x Combine like terms: 7x + -7x = 0 63 + 1x = 0 Add '-63' to each side of the equation. 63 + -63 + 1x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 1x = 0 + -63 1x = 0 + -63 Combine like terms: 0 + -63 = -63 1x = -63 Divide each side by '1'. x = -63 Simplifying x = -63
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