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Simplifying 5(x + 3) = 7 + -6(2x + -3) Reorder the terms: 5(3 + x) = 7 + -6(2x + -3) (3 * 5 + x * 5) = 7 + -6(2x + -3) (15 + 5x) = 7 + -6(2x + -3) Reorder the terms: 15 + 5x = 7 + -6(-3 + 2x) 15 + 5x = 7 + (-3 * -6 + 2x * -6) 15 + 5x = 7 + (18 + -12x) Combine like terms: 7 + 18 = 25 15 + 5x = 25 + -12x Solving 15 + 5x = 25 + -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 + 5x + 12x = 25 + -12x + 12x Combine like terms: 5x + 12x = 17x 15 + 17x = 25 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 17x = 25 + 0 15 + 17x = 25 Add '-15' to each side of the equation. 15 + -15 + 17x = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 25 + -15 17x = 25 + -15 Combine like terms: 25 + -15 = 10 17x = 10 Divide each side by '17'. x = 0.5882352941 Simplifying x = 0.5882352941
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