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Simplifying 5(3 + -1x) = 7 + -1(4 + -1x) (3 * 5 + -1x * 5) = 7 + -1(4 + -1x) (15 + -5x) = 7 + -1(4 + -1x) 15 + -5x = 7 + (4 * -1 + -1x * -1) 15 + -5x = 7 + (-4 + 1x) Combine like terms: 7 + -4 = 3 15 + -5x = 3 + 1x Solving 15 + -5x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -5x + -1x = 3 + 1x + -1x Combine like terms: -5x + -1x = -6x 15 + -6x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -6x = 3 + 0 15 + -6x = 3 Add '-15' to each side of the equation. 15 + -15 + -6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 3 + -15 -6x = 3 + -15 Combine like terms: 3 + -15 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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