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Simplifying 9 = -3(x + -4) + 8(x + -6) Reorder the terms: 9 = -3(-4 + x) + 8(x + -6) 9 = (-4 * -3 + x * -3) + 8(x + -6) 9 = (12 + -3x) + 8(x + -6) Reorder the terms: 9 = 12 + -3x + 8(-6 + x) 9 = 12 + -3x + (-6 * 8 + x * 8) 9 = 12 + -3x + (-48 + 8x) Reorder the terms: 9 = 12 + -48 + -3x + 8x Combine like terms: 12 + -48 = -36 9 = -36 + -3x + 8x Combine like terms: -3x + 8x = 5x 9 = -36 + 5x Solving 9 = -36 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -5x = -36 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -5x = -36 + 0 9 + -5x = -36 Add '-9' to each side of the equation. 9 + -9 + -5x = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -36 + -9 -5x = -36 + -9 Combine like terms: -36 + -9 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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