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Simplifying -3(5 + -2x) = 2(5x + 1) + 3 (5 * -3 + -2x * -3) = 2(5x + 1) + 3 (-15 + 6x) = 2(5x + 1) + 3 Reorder the terms: -15 + 6x = 2(1 + 5x) + 3 -15 + 6x = (1 * 2 + 5x * 2) + 3 -15 + 6x = (2 + 10x) + 3 Reorder the terms: -15 + 6x = 2 + 3 + 10x Combine like terms: 2 + 3 = 5 -15 + 6x = 5 + 10x Solving -15 + 6x = 5 + 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. -15 + 6x + -10x = 5 + 10x + -10x Combine like terms: 6x + -10x = -4x -15 + -4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -4x = 5 + 0 -15 + -4x = 5 Add '15' to each side of the equation. -15 + 15 + -4x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 5 + 15 -4x = 5 + 15 Combine like terms: 5 + 15 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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