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Simplifying 3(2x + 1) + -1(x + -1) = 7(x + 5) Reorder the terms: 3(1 + 2x) + -1(x + -1) = 7(x + 5) (1 * 3 + 2x * 3) + -1(x + -1) = 7(x + 5) (3 + 6x) + -1(x + -1) = 7(x + 5) Reorder the terms: 3 + 6x + -1(-1 + x) = 7(x + 5) 3 + 6x + (-1 * -1 + x * -1) = 7(x + 5) 3 + 6x + (1 + -1x) = 7(x + 5) Reorder the terms: 3 + 1 + 6x + -1x = 7(x + 5) Combine like terms: 3 + 1 = 4 4 + 6x + -1x = 7(x + 5) Combine like terms: 6x + -1x = 5x 4 + 5x = 7(x + 5) Reorder the terms: 4 + 5x = 7(5 + x) 4 + 5x = (5 * 7 + x * 7) 4 + 5x = (35 + 7x) Solving 4 + 5x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 5x + -7x = 35 + 7x + -7x Combine like terms: 5x + -7x = -2x 4 + -2x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -2x = 35 + 0 4 + -2x = 35 Add '-4' to each side of the equation. 4 + -4 + -2x = 35 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 35 + -4 -2x = 35 + -4 Combine like terms: 35 + -4 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5
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