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Simplifying 2(2x + 5) + -1(3x + -4) = 1(2x + 6) Reorder the terms: 2(5 + 2x) + -1(3x + -4) = 1(2x + 6) (5 * 2 + 2x * 2) + -1(3x + -4) = 1(2x + 6) (10 + 4x) + -1(3x + -4) = 1(2x + 6) Reorder the terms: 10 + 4x + -1(-4 + 3x) = 1(2x + 6) 10 + 4x + (-4 * -1 + 3x * -1) = 1(2x + 6) 10 + 4x + (4 + -3x) = 1(2x + 6) Reorder the terms: 10 + 4 + 4x + -3x = 1(2x + 6) Combine like terms: 10 + 4 = 14 14 + 4x + -3x = 1(2x + 6) Combine like terms: 4x + -3x = 1x 14 + 1x = 1(2x + 6) Reorder the terms: 14 + 1x = 1(6 + 2x) 14 + 1x = (6 * 1 + 2x * 1) 14 + 1x = (6 + 2x) Solving 14 + 1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 1x + -2x = 6 + 2x + -2x Combine like terms: 1x + -2x = -1x 14 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -1x = 6 + 0 14 + -1x = 6 Add '-14' to each side of the equation. 14 + -14 + -1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 6 + -14 -1x = 6 + -14 Combine like terms: 6 + -14 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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