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