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Simplifying 5(-2x + 3) = 12x + -7 Reorder the terms: 5(3 + -2x) = 12x + -7 (3 * 5 + -2x * 5) = 12x + -7 (15 + -10x) = 12x + -7 Reorder the terms: 15 + -10x = -7 + 12x Solving 15 + -10x = -7 + 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 = -7 + 12x + -12x Combine like terms: -10x + -12x = -22x 15 + -22x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -22x = -7 + 0 15 + -22x = -7 Add '-15' to each side of the equation. 15 + -15 + -22x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -22x = -7 + -15 -22x = -7 + -15 Combine like terms: -7 + -15 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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