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Simplifying -5(2x + -3) = 2(x + -6) + -45 Reorder the terms: -5(-3 + 2x) = 2(x + -6) + -45 (-3 * -5 + 2x * -5) = 2(x + -6) + -45 (15 + -10x) = 2(x + -6) + -45 Reorder the terms: 15 + -10x = 2(-6 + x) + -45 15 + -10x = (-6 * 2 + x * 2) + -45 15 + -10x = (-12 + 2x) + -45 Reorder the terms: 15 + -10x = -12 + -45 + 2x Combine like terms: -12 + -45 = -57 15 + -10x = -57 + 2x Solving 15 + -10x = -57 + 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 = -57 + 2x + -2x Combine like terms: -10x + -2x = -12x 15 + -12x = -57 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -12x = -57 + 0 15 + -12x = -57 Add '-15' to each side of the equation. 15 + -15 + -12x = -57 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -57 + -15 -12x = -57 + -15 Combine like terms: -57 + -15 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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