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Simplifying 4 + -3(2x + -4) + 2(4x + -1) = 5 + -1(x + -1) Reorder the terms: 4 + -3(-4 + 2x) + 2(4x + -1) = 5 + -1(x + -1) 4 + (-4 * -3 + 2x * -3) + 2(4x + -1) = 5 + -1(x + -1) 4 + (12 + -6x) + 2(4x + -1) = 5 + -1(x + -1) Reorder the terms: 4 + 12 + -6x + 2(-1 + 4x) = 5 + -1(x + -1) 4 + 12 + -6x + (-1 * 2 + 4x * 2) = 5 + -1(x + -1) 4 + 12 + -6x + (-2 + 8x) = 5 + -1(x + -1) Reorder the terms: 4 + 12 + -2 + -6x + 8x = 5 + -1(x + -1) Combine like terms: 4 + 12 = 16 16 + -2 + -6x + 8x = 5 + -1(x + -1) Combine like terms: 16 + -2 = 14 14 + -6x + 8x = 5 + -1(x + -1) Combine like terms: -6x + 8x = 2x 14 + 2x = 5 + -1(x + -1) Reorder the terms: 14 + 2x = 5 + -1(-1 + x) 14 + 2x = 5 + (-1 * -1 + x * -1) 14 + 2x = 5 + (1 + -1x) Combine like terms: 5 + 1 = 6 14 + 2x = 6 + -1x Solving 14 + 2x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + 2x + x = 6 + -1x + x Combine like terms: 2x + x = 3x 14 + 3x = 6 + -1x + x Combine like terms: -1x + x = 0 14 + 3x = 6 + 0 14 + 3x = 6 Add '-14' to each side of the equation. 14 + -14 + 3x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 6 + -14 3x = 6 + -14 Combine like terms: 6 + -14 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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