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Simplifying 5(4x + -5) + -2(2x + -15) = 15x + 15 Reorder the terms: 5(-5 + 4x) + -2(2x + -15) = 15x + 15 (-5 * 5 + 4x * 5) + -2(2x + -15) = 15x + 15 (-25 + 20x) + -2(2x + -15) = 15x + 15 Reorder the terms: -25 + 20x + -2(-15 + 2x) = 15x + 15 -25 + 20x + (-15 * -2 + 2x * -2) = 15x + 15 -25 + 20x + (30 + -4x) = 15x + 15 Reorder the terms: -25 + 30 + 20x + -4x = 15x + 15 Combine like terms: -25 + 30 = 5 5 + 20x + -4x = 15x + 15 Combine like terms: 20x + -4x = 16x 5 + 16x = 15x + 15 Reorder the terms: 5 + 16x = 15 + 15x Solving 5 + 16x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 16x + -15x = 15 + 15x + -15x Combine like terms: 16x + -15x = 1x 5 + 1x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + 1x = 15 + 0 5 + 1x = 15 Add '-5' to each side of the equation. 5 + -5 + 1x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 15 + -5 1x = 15 + -5 Combine like terms: 15 + -5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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