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Simplifying 5(2x + 3) = 12x + -15 Reorder the terms: 5(3 + 2x) = 12x + -15 (3 * 5 + 2x * 5) = 12x + -15 (15 + 10x) = 12x + -15 Reorder the terms: 15 + 10x = -15 + 12x Solving 15 + 10x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 10x + -12x = -15 + 12x + -12x Combine like terms: 10x + -12x = -2x 15 + -2x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -2x = -15 + 0 15 + -2x = -15 Add '-15' to each side of the equation. 15 + -15 + -2x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -15 + -15 -2x = -15 + -15 Combine like terms: -15 + -15 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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