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Simplifying -5(2x + -3) = 2(x + -15) + -3 Reorder the terms: -5(-3 + 2x) = 2(x + -15) + -3 (-3 * -5 + 2x * -5) = 2(x + -15) + -3 (15 + -10x) = 2(x + -15) + -3 Reorder the terms: 15 + -10x = 2(-15 + x) + -3 15 + -10x = (-15 * 2 + x * 2) + -3 15 + -10x = (-30 + 2x) + -3 Reorder the terms: 15 + -10x = -30 + -3 + 2x Combine like terms: -30 + -3 = -33 15 + -10x = -33 + 2x Solving 15 + -10x = -33 + 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. 15 + -10x + -2x = -33 + 2x + -2x Combine like terms: -10x + -2x = -12x 15 + -12x = -33 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -12x = -33 + 0 15 + -12x = -33 Add '-15' to each side of the equation. 15 + -15 + -12x = -33 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -33 + -15 -12x = -33 + -15 Combine like terms: -33 + -15 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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