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Simplifying 3(x + -5) + 10 = 2(x + 5) + -15 Reorder the terms: 3(-5 + x) + 10 = 2(x + 5) + -15 (-5 * 3 + x * 3) + 10 = 2(x + 5) + -15 (-15 + 3x) + 10 = 2(x + 5) + -15 Reorder the terms: -15 + 10 + 3x = 2(x + 5) + -15 Combine like terms: -15 + 10 = -5 -5 + 3x = 2(x + 5) + -15 Reorder the terms: -5 + 3x = 2(5 + x) + -15 -5 + 3x = (5 * 2 + x * 2) + -15 -5 + 3x = (10 + 2x) + -15 Reorder the terms: -5 + 3x = 10 + -15 + 2x Combine like terms: 10 + -15 = -5 -5 + 3x = -5 + 2x Add '5' to each side of the equation. -5 + 5 + 3x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + 3x = -5 + 5 + 2x 3x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 3x = 0 + 2x 3x = 2x Solving 3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 2x + -2x Combine like terms: 2x + -2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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