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Simplifying 1 + 8(x + -2) = 9 + -9(x + -3) Reorder the terms: 1 + 8(-2 + x) = 9 + -9(x + -3) 1 + (-2 * 8 + x * 8) = 9 + -9(x + -3) 1 + (-16 + 8x) = 9 + -9(x + -3) Combine like terms: 1 + -16 = -15 -15 + 8x = 9 + -9(x + -3) Reorder the terms: -15 + 8x = 9 + -9(-3 + x) -15 + 8x = 9 + (-3 * -9 + x * -9) -15 + 8x = 9 + (27 + -9x) Combine like terms: 9 + 27 = 36 -15 + 8x = 36 + -9x Solving -15 + 8x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + 8x + 9x = 36 + -9x + 9x Combine like terms: 8x + 9x = 17x -15 + 17x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 17x = 36 + 0 -15 + 17x = 36 Add '15' to each side of the equation. -15 + 15 + 17x = 36 + 15 Combine like terms: -15 + 15 = 0 0 + 17x = 36 + 15 17x = 36 + 15 Combine like terms: 36 + 15 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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