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Simplifying 0 = 2(x + -1) + 3(2x + -3) + -1(4x + -5) Reorder the terms: 0 = 2(-1 + x) + 3(2x + -3) + -1(4x + -5) 0 = (-1 * 2 + x * 2) + 3(2x + -3) + -1(4x + -5) 0 = (-2 + 2x) + 3(2x + -3) + -1(4x + -5) Reorder the terms: 0 = -2 + 2x + 3(-3 + 2x) + -1(4x + -5) 0 = -2 + 2x + (-3 * 3 + 2x * 3) + -1(4x + -5) 0 = -2 + 2x + (-9 + 6x) + -1(4x + -5) Reorder the terms: 0 = -2 + 2x + -9 + 6x + -1(-5 + 4x) 0 = -2 + 2x + -9 + 6x + (-5 * -1 + 4x * -1) 0 = -2 + 2x + -9 + 6x + (5 + -4x) Reorder the terms: 0 = -2 + -9 + 5 + 2x + 6x + -4x Combine like terms: -2 + -9 = -11 0 = -11 + 5 + 2x + 6x + -4x Combine like terms: -11 + 5 = -6 0 = -6 + 2x + 6x + -4x Combine like terms: 2x + 6x = 8x 0 = -6 + 8x + -4x Combine like terms: 8x + -4x = 4x 0 = -6 + 4x Solving 0 = -6 + 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. 0 + -4x = -6 + 4x + -4x Remove the zero: -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -4x = -6 + 0 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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