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Simplifying 9(x + 6) + 9 = 11x + -3(x + -5) Reorder the terms: 9(6 + x) + 9 = 11x + -3(x + -5) (6 * 9 + x * 9) + 9 = 11x + -3(x + -5) (54 + 9x) + 9 = 11x + -3(x + -5) Reorder the terms: 54 + 9 + 9x = 11x + -3(x + -5) Combine like terms: 54 + 9 = 63 63 + 9x = 11x + -3(x + -5) Reorder the terms: 63 + 9x = 11x + -3(-5 + x) 63 + 9x = 11x + (-5 * -3 + x * -3) 63 + 9x = 11x + (15 + -3x) Reorder the terms: 63 + 9x = 15 + 11x + -3x Combine like terms: 11x + -3x = 8x 63 + 9x = 15 + 8x Solving 63 + 9x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 63 + 9x + -8x = 15 + 8x + -8x Combine like terms: 9x + -8x = 1x 63 + 1x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 63 + 1x = 15 + 0 63 + 1x = 15 Add '-63' to each side of the equation. 63 + -63 + 1x = 15 + -63 Combine like terms: 63 + -63 = 0 0 + 1x = 15 + -63 1x = 15 + -63 Combine like terms: 15 + -63 = -48 1x = -48 Divide each side by '1'. x = -48 Simplifying x = -48
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