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Simplifying 3 + -1(4x + 2) = 4[(2x + -2) + -1(x + -4)] Reorder the terms: 3 + -1(2 + 4x) = 4[(2x + -2) + -1(x + -4)] 3 + (2 * -1 + 4x * -1) = 4[(2x + -2) + -1(x + -4)] 3 + (-2 + -4x) = 4[(2x + -2) + -1(x + -4)] Combine like terms: 3 + -2 = 1 1 + -4x = 4[(2x + -2) + -1(x + -4)] Reorder the terms: 1 + -4x = 4[(-2 + 2x) + -1(x + -4)] Remove parenthesis around (-2 + 2x) 1 + -4x = 4[-2 + 2x + -1(x + -4)] Reorder the terms: 1 + -4x = 4[-2 + 2x + -1(-4 + x)] 1 + -4x = 4[-2 + 2x + (-4 * -1 + x * -1)] 1 + -4x = 4[-2 + 2x + (4 + -1x)] Reorder the terms: 1 + -4x = 4[-2 + 4 + 2x + -1x] Combine like terms: -2 + 4 = 2 1 + -4x = 4[2 + 2x + -1x] Combine like terms: 2x + -1x = 1x 1 + -4x = 4[2 + 1x] 1 + -4x = [2 * 4 + 1x * 4] 1 + -4x = [8 + 4x] Solving 1 + -4x = 8 + 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. 1 + -4x + -4x = 8 + 4x + -4x Combine like terms: -4x + -4x = -8x 1 + -8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -8x = 8 + 0 1 + -8x = 8 Add '-1' to each side of the equation. 1 + -1 + -8x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 8 + -1 -8x = 8 + -1 Combine like terms: 8 + -1 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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