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Simplifying -2(3x + -5) + 2(6x + 2) = 5(x + 1) + -1(x + 3) Reorder the terms: -2(-5 + 3x) + 2(6x + 2) = 5(x + 1) + -1(x + 3) (-5 * -2 + 3x * -2) + 2(6x + 2) = 5(x + 1) + -1(x + 3) (10 + -6x) + 2(6x + 2) = 5(x + 1) + -1(x + 3) Reorder the terms: 10 + -6x + 2(2 + 6x) = 5(x + 1) + -1(x + 3) 10 + -6x + (2 * 2 + 6x * 2) = 5(x + 1) + -1(x + 3) 10 + -6x + (4 + 12x) = 5(x + 1) + -1(x + 3) Reorder the terms: 10 + 4 + -6x + 12x = 5(x + 1) + -1(x + 3) Combine like terms: 10 + 4 = 14 14 + -6x + 12x = 5(x + 1) + -1(x + 3) Combine like terms: -6x + 12x = 6x 14 + 6x = 5(x + 1) + -1(x + 3) Reorder the terms: 14 + 6x = 5(1 + x) + -1(x + 3) 14 + 6x = (1 * 5 + x * 5) + -1(x + 3) 14 + 6x = (5 + 5x) + -1(x + 3) Reorder the terms: 14 + 6x = 5 + 5x + -1(3 + x) 14 + 6x = 5 + 5x + (3 * -1 + x * -1) 14 + 6x = 5 + 5x + (-3 + -1x) Reorder the terms: 14 + 6x = 5 + -3 + 5x + -1x Combine like terms: 5 + -3 = 2 14 + 6x = 2 + 5x + -1x Combine like terms: 5x + -1x = 4x 14 + 6x = 2 + 4x Solving 14 + 6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x 14 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 2x = 2 + 0 14 + 2x = 2 Add '-14' to each side of the equation. 14 + -14 + 2x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 2 + -14 2x = 2 + -14 Combine like terms: 2 + -14 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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