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Simplifying 5(7x + 3) = 2(3 + -1x) + -3 + x Reorder the terms: 5(3 + 7x) = 2(3 + -1x) + -3 + x (3 * 5 + 7x * 5) = 2(3 + -1x) + -3 + x (15 + 35x) = 2(3 + -1x) + -3 + x 15 + 35x = (3 * 2 + -1x * 2) + -3 + x 15 + 35x = (6 + -2x) + -3 + x Reorder the terms: 15 + 35x = 6 + -3 + -2x + x Combine like terms: 6 + -3 = 3 15 + 35x = 3 + -2x + x Combine like terms: -2x + x = -1x 15 + 35x = 3 + -1x Solving 15 + 35x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 35x + x = 3 + -1x + x Combine like terms: 35x + x = 36x 15 + 36x = 3 + -1x + x Combine like terms: -1x + x = 0 15 + 36x = 3 + 0 15 + 36x = 3 Add '-15' to each side of the equation. 15 + -15 + 36x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 36x = 3 + -15 36x = 3 + -15 Combine like terms: 3 + -15 = -12 36x = -12 Divide each side by '36'. x = -0.3333333333 Simplifying x = -0.3333333333
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