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Simplifying 8(x + -3) + 9 = 5(2x + -9) Reorder the terms: 8(-3 + x) + 9 = 5(2x + -9) (-3 * 8 + x * 8) + 9 = 5(2x + -9) (-24 + 8x) + 9 = 5(2x + -9) Reorder the terms: -24 + 9 + 8x = 5(2x + -9) Combine like terms: -24 + 9 = -15 -15 + 8x = 5(2x + -9) Reorder the terms: -15 + 8x = 5(-9 + 2x) -15 + 8x = (-9 * 5 + 2x * 5) -15 + 8x = (-45 + 10x) Solving -15 + 8x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 8x + -10x = -45 + 10x + -10x Combine like terms: 8x + -10x = -2x -15 + -2x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -2x = -45 + 0 -15 + -2x = -45 Add '15' to each side of the equation. -15 + 15 + -2x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -45 + 15 -2x = -45 + 15 Combine like terms: -45 + 15 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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