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Simplifying 8(x + 4) + -5 = 5(2x + -9) Reorder the terms: 8(4 + x) + -5 = 5(2x + -9) (4 * 8 + x * 8) + -5 = 5(2x + -9) (32 + 8x) + -5 = 5(2x + -9) Reorder the terms: 32 + -5 + 8x = 5(2x + -9) Combine like terms: 32 + -5 = 27 27 + 8x = 5(2x + -9) Reorder the terms: 27 + 8x = 5(-9 + 2x) 27 + 8x = (-9 * 5 + 2x * 5) 27 + 8x = (-45 + 10x) Solving 27 + 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. 27 + 8x + -10x = -45 + 10x + -10x Combine like terms: 8x + -10x = -2x 27 + -2x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -2x = -45 + 0 27 + -2x = -45 Add '-27' to each side of the equation. 27 + -27 + -2x = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = -45 + -27 -2x = -45 + -27 Combine like terms: -45 + -27 = -72 -2x = -72 Divide each side by '-2'. x = 36 Simplifying x = 36
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