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Simplifying -1(2x + -4) + -1(2x + -6) + 4 = -3(x + -1) + -1(4x + 4) + 3 Reorder the terms: -1(-4 + 2x) + -1(2x + -6) + 4 = -3(x + -1) + -1(4x + 4) + 3 (-4 * -1 + 2x * -1) + -1(2x + -6) + 4 = -3(x + -1) + -1(4x + 4) + 3 (4 + -2x) + -1(2x + -6) + 4 = -3(x + -1) + -1(4x + 4) + 3 Reorder the terms: 4 + -2x + -1(-6 + 2x) + 4 = -3(x + -1) + -1(4x + 4) + 3 4 + -2x + (-6 * -1 + 2x * -1) + 4 = -3(x + -1) + -1(4x + 4) + 3 4 + -2x + (6 + -2x) + 4 = -3(x + -1) + -1(4x + 4) + 3 Reorder the terms: 4 + 6 + 4 + -2x + -2x = -3(x + -1) + -1(4x + 4) + 3 Combine like terms: 4 + 6 = 10 10 + 4 + -2x + -2x = -3(x + -1) + -1(4x + 4) + 3 Combine like terms: 10 + 4 = 14 14 + -2x + -2x = -3(x + -1) + -1(4x + 4) + 3 Combine like terms: -2x + -2x = -4x 14 + -4x = -3(x + -1) + -1(4x + 4) + 3 Reorder the terms: 14 + -4x = -3(-1 + x) + -1(4x + 4) + 3 14 + -4x = (-1 * -3 + x * -3) + -1(4x + 4) + 3 14 + -4x = (3 + -3x) + -1(4x + 4) + 3 Reorder the terms: 14 + -4x = 3 + -3x + -1(4 + 4x) + 3 14 + -4x = 3 + -3x + (4 * -1 + 4x * -1) + 3 14 + -4x = 3 + -3x + (-4 + -4x) + 3 Reorder the terms: 14 + -4x = 3 + -4 + 3 + -3x + -4x Combine like terms: 3 + -4 = -1 14 + -4x = -1 + 3 + -3x + -4x Combine like terms: -1 + 3 = 2 14 + -4x = 2 + -3x + -4x Combine like terms: -3x + -4x = -7x 14 + -4x = 2 + -7x Solving 14 + -4x = 2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + -4x + 7x = 2 + -7x + 7x Combine like terms: -4x + 7x = 3x 14 + 3x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 3x = 2 + 0 14 + 3x = 2 Add '-14' to each side of the equation. 14 + -14 + 3x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 2 + -14 3x = 2 + -14 Combine like terms: 2 + -14 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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