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Simplifying 3[4x + -1(2x + -1)] = 2(5x + -4) Reorder the terms: 3[4x + -1(-1 + 2x)] = 2(5x + -4) 3[4x + (-1 * -1 + 2x * -1)] = 2(5x + -4) 3[4x + (1 + -2x)] = 2(5x + -4) Reorder the terms: 3[1 + 4x + -2x] = 2(5x + -4) Combine like terms: 4x + -2x = 2x 3[1 + 2x] = 2(5x + -4) [1 * 3 + 2x * 3] = 2(5x + -4) [3 + 6x] = 2(5x + -4) Reorder the terms: 3 + 6x = 2(-4 + 5x) 3 + 6x = (-4 * 2 + 5x * 2) 3 + 6x = (-8 + 10x) Solving 3 + 6x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 6x + -10x = -8 + 10x + -10x Combine like terms: 6x + -10x = -4x 3 + -4x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -4x = -8 + 0 3 + -4x = -8 Add '-3' to each side of the equation. 3 + -3 + -4x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -8 + -3 -4x = -8 + -3 Combine like terms: -8 + -3 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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