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Simplifying 2(4x + -1) + -1(x + -3) = 5(x + 2) Reorder the terms: 2(-1 + 4x) + -1(x + -3) = 5(x + 2) (-1 * 2 + 4x * 2) + -1(x + -3) = 5(x + 2) (-2 + 8x) + -1(x + -3) = 5(x + 2) Reorder the terms: -2 + 8x + -1(-3 + x) = 5(x + 2) -2 + 8x + (-3 * -1 + x * -1) = 5(x + 2) -2 + 8x + (3 + -1x) = 5(x + 2) Reorder the terms: -2 + 3 + 8x + -1x = 5(x + 2) Combine like terms: -2 + 3 = 1 1 + 8x + -1x = 5(x + 2) Combine like terms: 8x + -1x = 7x 1 + 7x = 5(x + 2) Reorder the terms: 1 + 7x = 5(2 + x) 1 + 7x = (2 * 5 + x * 5) 1 + 7x = (10 + 5x) Solving 1 + 7x = 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. 1 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x 1 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 2x = 10 + 0 1 + 2x = 10 Add '-1' to each side of the equation. 1 + -1 + 2x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 10 + -1 2x = 10 + -1 Combine like terms: 10 + -1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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