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Simplifying 5 + -2(2x + -4) = 3(1 + -4x) Reorder the terms: 5 + -2(-4 + 2x) = 3(1 + -4x) 5 + (-4 * -2 + 2x * -2) = 3(1 + -4x) 5 + (8 + -4x) = 3(1 + -4x) Combine like terms: 5 + 8 = 13 13 + -4x = 3(1 + -4x) 13 + -4x = (1 * 3 + -4x * 3) 13 + -4x = (3 + -12x) Solving 13 + -4x = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 13 + -4x + 12x = 3 + -12x + 12x Combine like terms: -4x + 12x = 8x 13 + 8x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 13 + 8x = 3 + 0 13 + 8x = 3 Add '-13' to each side of the equation. 13 + -13 + 8x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 3 + -13 8x = 3 + -13 Combine like terms: 3 + -13 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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