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Simplifying 5(3x + 7) = 20 + -2(x + -1) Reorder the terms: 5(7 + 3x) = 20 + -2(x + -1) (7 * 5 + 3x * 5) = 20 + -2(x + -1) (35 + 15x) = 20 + -2(x + -1) Reorder the terms: 35 + 15x = 20 + -2(-1 + x) 35 + 15x = 20 + (-1 * -2 + x * -2) 35 + 15x = 20 + (2 + -2x) Combine like terms: 20 + 2 = 22 35 + 15x = 22 + -2x Solving 35 + 15x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + 15x + 2x = 22 + -2x + 2x Combine like terms: 15x + 2x = 17x 35 + 17x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 17x = 22 + 0 35 + 17x = 22 Add '-35' to each side of the equation. 35 + -35 + 17x = 22 + -35 Combine like terms: 35 + -35 = 0 0 + 17x = 22 + -35 17x = 22 + -35 Combine like terms: 22 + -35 = -13 17x = -13 Divide each side by '17'. x = -0.7647058824 Simplifying x = -0.7647058824
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