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Simplifying 3 + -8(2x + -5) = 9x + -5(x + 4) Reorder the terms: 3 + -8(-5 + 2x) = 9x + -5(x + 4) 3 + (-5 * -8 + 2x * -8) = 9x + -5(x + 4) 3 + (40 + -16x) = 9x + -5(x + 4) Combine like terms: 3 + 40 = 43 43 + -16x = 9x + -5(x + 4) Reorder the terms: 43 + -16x = 9x + -5(4 + x) 43 + -16x = 9x + (4 * -5 + x * -5) 43 + -16x = 9x + (-20 + -5x) Reorder the terms: 43 + -16x = -20 + 9x + -5x Combine like terms: 9x + -5x = 4x 43 + -16x = -20 + 4x Solving 43 + -16x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 43 + -16x + -4x = -20 + 4x + -4x Combine like terms: -16x + -4x = -20x 43 + -20x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 43 + -20x = -20 + 0 43 + -20x = -20 Add '-43' to each side of the equation. 43 + -43 + -20x = -20 + -43 Combine like terms: 43 + -43 = 0 0 + -20x = -20 + -43 -20x = -20 + -43 Combine like terms: -20 + -43 = -63 -20x = -63 Divide each side by '-20'. x = 3.15 Simplifying x = 3.15
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