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Simplifying 3x + 8 + -5(x + -1) = 2(x + 6) + -7x Reorder the terms: 3x + 8 + -5(-1 + x) = 2(x + 6) + -7x 3x + 8 + (-1 * -5 + x * -5) = 2(x + 6) + -7x 3x + 8 + (5 + -5x) = 2(x + 6) + -7x Reorder the terms: 8 + 5 + 3x + -5x = 2(x + 6) + -7x Combine like terms: 8 + 5 = 13 13 + 3x + -5x = 2(x + 6) + -7x Combine like terms: 3x + -5x = -2x 13 + -2x = 2(x + 6) + -7x Reorder the terms: 13 + -2x = 2(6 + x) + -7x 13 + -2x = (6 * 2 + x * 2) + -7x 13 + -2x = (12 + 2x) + -7x Combine like terms: 2x + -7x = -5x 13 + -2x = 12 + -5x Solving 13 + -2x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + -2x + 5x = 12 + -5x + 5x Combine like terms: -2x + 5x = 3x 13 + 3x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 3x = 12 + 0 13 + 3x = 12 Add '-13' to each side of the equation. 13 + -13 + 3x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 12 + -13 3x = 12 + -13 Combine like terms: 12 + -13 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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