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Simplifying 5(x + 4) = 3(2x + -5) Reorder the terms: 5(4 + x) = 3(2x + -5) (4 * 5 + x * 5) = 3(2x + -5) (20 + 5x) = 3(2x + -5) Reorder the terms: 20 + 5x = 3(-5 + 2x) 20 + 5x = (-5 * 3 + 2x * 3) 20 + 5x = (-15 + 6x) Solving 20 + 5x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 5x + -6x = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x 20 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -1x = -15 + 0 20 + -1x = -15 Add '-20' to each side of the equation. 20 + -20 + -1x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = -15 + -20 -1x = -15 + -20 Combine like terms: -15 + -20 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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