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Simplifying 5(4x + -5) + 3(18 + -5x) = 2(2x + 3) + -2 Reorder the terms: 5(-5 + 4x) + 3(18 + -5x) = 2(2x + 3) + -2 (-5 * 5 + 4x * 5) + 3(18 + -5x) = 2(2x + 3) + -2 (-25 + 20x) + 3(18 + -5x) = 2(2x + 3) + -2 -25 + 20x + (18 * 3 + -5x * 3) = 2(2x + 3) + -2 -25 + 20x + (54 + -15x) = 2(2x + 3) + -2 Reorder the terms: -25 + 54 + 20x + -15x = 2(2x + 3) + -2 Combine like terms: -25 + 54 = 29 29 + 20x + -15x = 2(2x + 3) + -2 Combine like terms: 20x + -15x = 5x 29 + 5x = 2(2x + 3) + -2 Reorder the terms: 29 + 5x = 2(3 + 2x) + -2 29 + 5x = (3 * 2 + 2x * 2) + -2 29 + 5x = (6 + 4x) + -2 Reorder the terms: 29 + 5x = 6 + -2 + 4x Combine like terms: 6 + -2 = 4 29 + 5x = 4 + 4x Solving 29 + 5x = 4 + 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. 29 + 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x 29 + 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 29 + 1x = 4 + 0 29 + 1x = 4 Add '-29' to each side of the equation. 29 + -29 + 1x = 4 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 4 + -29 1x = 4 + -29 Combine like terms: 4 + -29 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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