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Simplifying 4x + -8(x + -4) = 9(x + -9) Reorder the terms: 4x + -8(-4 + x) = 9(x + -9) 4x + (-4 * -8 + x * -8) = 9(x + -9) 4x + (32 + -8x) = 9(x + -9) Reorder the terms: 32 + 4x + -8x = 9(x + -9) Combine like terms: 4x + -8x = -4x 32 + -4x = 9(x + -9) Reorder the terms: 32 + -4x = 9(-9 + x) 32 + -4x = (-9 * 9 + x * 9) 32 + -4x = (-81 + 9x) Solving 32 + -4x = -81 + 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. 32 + -4x + -9x = -81 + 9x + -9x Combine like terms: -4x + -9x = -13x 32 + -13x = -81 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -13x = -81 + 0 32 + -13x = -81 Add '-32' to each side of the equation. 32 + -32 + -13x = -81 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = -81 + -32 -13x = -81 + -32 Combine like terms: -81 + -32 = -113 -13x = -113 Divide each side by '-13'. x = 8.692307692 Simplifying x = 8.692307692
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