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Simplifying 2(2x + -4) + 14 = 3(x + -1) + -1(2x + 1) Reorder the terms: 2(-4 + 2x) + 14 = 3(x + -1) + -1(2x + 1) (-4 * 2 + 2x * 2) + 14 = 3(x + -1) + -1(2x + 1) (-8 + 4x) + 14 = 3(x + -1) + -1(2x + 1) Reorder the terms: -8 + 14 + 4x = 3(x + -1) + -1(2x + 1) Combine like terms: -8 + 14 = 6 6 + 4x = 3(x + -1) + -1(2x + 1) Reorder the terms: 6 + 4x = 3(-1 + x) + -1(2x + 1) 6 + 4x = (-1 * 3 + x * 3) + -1(2x + 1) 6 + 4x = (-3 + 3x) + -1(2x + 1) Reorder the terms: 6 + 4x = -3 + 3x + -1(1 + 2x) 6 + 4x = -3 + 3x + (1 * -1 + 2x * -1) 6 + 4x = -3 + 3x + (-1 + -2x) Reorder the terms: 6 + 4x = -3 + -1 + 3x + -2x Combine like terms: -3 + -1 = -4 6 + 4x = -4 + 3x + -2x Combine like terms: 3x + -2x = 1x 6 + 4x = -4 + 1x Solving 6 + 4x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 4x + -1x = -4 + 1x + -1x Combine like terms: 4x + -1x = 3x 6 + 3x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 3x = -4 + 0 6 + 3x = -4 Add '-6' to each side of the equation. 6 + -6 + 3x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -4 + -6 3x = -4 + -6 Combine like terms: -4 + -6 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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