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Simplifying 2(5 + -1x) + 7 + -1(x + 6) = 5(x + 3) (5 * 2 + -1x * 2) + 7 + -1(x + 6) = 5(x + 3) (10 + -2x) + 7 + -1(x + 6) = 5(x + 3) Reorder the terms: 10 + -2x + 7 + -1(6 + x) = 5(x + 3) 10 + -2x + 7 + (6 * -1 + x * -1) = 5(x + 3) 10 + -2x + 7 + (-6 + -1x) = 5(x + 3) Reorder the terms: 10 + 7 + -6 + -2x + -1x = 5(x + 3) Combine like terms: 10 + 7 = 17 17 + -6 + -2x + -1x = 5(x + 3) Combine like terms: 17 + -6 = 11 11 + -2x + -1x = 5(x + 3) Combine like terms: -2x + -1x = -3x 11 + -3x = 5(x + 3) Reorder the terms: 11 + -3x = 5(3 + x) 11 + -3x = (3 * 5 + x * 5) 11 + -3x = (15 + 5x) Solving 11 + -3x = 15 + 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. 11 + -3x + -5x = 15 + 5x + -5x Combine like terms: -3x + -5x = -8x 11 + -8x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -8x = 15 + 0 11 + -8x = 15 Add '-11' to each side of the equation. 11 + -11 + -8x = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 15 + -11 -8x = 15 + -11 Combine like terms: 15 + -11 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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