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Simplifying 5(3 + -1x) = 7 + -1(2 + 3x) (3 * 5 + -1x * 5) = 7 + -1(2 + 3x) (15 + -5x) = 7 + -1(2 + 3x) 15 + -5x = 7 + (2 * -1 + 3x * -1) 15 + -5x = 7 + (-2 + -3x) Combine like terms: 7 + -2 = 5 15 + -5x = 5 + -3x Solving 15 + -5x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + -5x + 3x = 5 + -3x + 3x Combine like terms: -5x + 3x = -2x 15 + -2x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + -2x = 5 + 0 15 + -2x = 5 Add '-15' to each side of the equation. 15 + -15 + -2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 5 + -15 -2x = 5 + -15 Combine like terms: 5 + -15 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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