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Simplifying -1(x + -7) + -3(4x + 1) = 5(x + 2) Reorder the terms: -1(-7 + x) + -3(4x + 1) = 5(x + 2) (-7 * -1 + x * -1) + -3(4x + 1) = 5(x + 2) (7 + -1x) + -3(4x + 1) = 5(x + 2) Reorder the terms: 7 + -1x + -3(1 + 4x) = 5(x + 2) 7 + -1x + (1 * -3 + 4x * -3) = 5(x + 2) 7 + -1x + (-3 + -12x) = 5(x + 2) Reorder the terms: 7 + -3 + -1x + -12x = 5(x + 2) Combine like terms: 7 + -3 = 4 4 + -1x + -12x = 5(x + 2) Combine like terms: -1x + -12x = -13x 4 + -13x = 5(x + 2) Reorder the terms: 4 + -13x = 5(2 + x) 4 + -13x = (2 * 5 + x * 5) 4 + -13x = (10 + 5x) Solving 4 + -13x = 10 + 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. 4 + -13x + -5x = 10 + 5x + -5x Combine like terms: -13x + -5x = -18x 4 + -18x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -18x = 10 + 0 4 + -18x = 10 Add '-4' to each side of the equation. 4 + -4 + -18x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = 10 + -4 -18x = 10 + -4 Combine like terms: 10 + -4 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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