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Simplifying 5(3x + -5) + -2(2x + -15) = 2(5x + 3) + -1 Reorder the terms: 5(-5 + 3x) + -2(2x + -15) = 2(5x + 3) + -1 (-5 * 5 + 3x * 5) + -2(2x + -15) = 2(5x + 3) + -1 (-25 + 15x) + -2(2x + -15) = 2(5x + 3) + -1 Reorder the terms: -25 + 15x + -2(-15 + 2x) = 2(5x + 3) + -1 -25 + 15x + (-15 * -2 + 2x * -2) = 2(5x + 3) + -1 -25 + 15x + (30 + -4x) = 2(5x + 3) + -1 Reorder the terms: -25 + 30 + 15x + -4x = 2(5x + 3) + -1 Combine like terms: -25 + 30 = 5 5 + 15x + -4x = 2(5x + 3) + -1 Combine like terms: 15x + -4x = 11x 5 + 11x = 2(5x + 3) + -1 Reorder the terms: 5 + 11x = 2(3 + 5x) + -1 5 + 11x = (3 * 2 + 5x * 2) + -1 5 + 11x = (6 + 10x) + -1 Reorder the terms: 5 + 11x = 6 + -1 + 10x Combine like terms: 6 + -1 = 5 5 + 11x = 5 + 10x Add '-5' to each side of the equation. 5 + -5 + 11x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 0 + 11x = 5 + -5 + 10x 11x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 11x = 0 + 10x 11x = 10x Solving 11x = 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. 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 1x = 10x + -10x Combine like terms: 10x + -10x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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