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Simplifying 4(2 + -3x) + -1(6x + -4) = 2(5 + -5x) (2 * 4 + -3x * 4) + -1(6x + -4) = 2(5 + -5x) (8 + -12x) + -1(6x + -4) = 2(5 + -5x) Reorder the terms: 8 + -12x + -1(-4 + 6x) = 2(5 + -5x) 8 + -12x + (-4 * -1 + 6x * -1) = 2(5 + -5x) 8 + -12x + (4 + -6x) = 2(5 + -5x) Reorder the terms: 8 + 4 + -12x + -6x = 2(5 + -5x) Combine like terms: 8 + 4 = 12 12 + -12x + -6x = 2(5 + -5x) Combine like terms: -12x + -6x = -18x 12 + -18x = 2(5 + -5x) 12 + -18x = (5 * 2 + -5x * 2) 12 + -18x = (10 + -10x) Solving 12 + -18x = 10 + -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. 12 + -18x + 10x = 10 + -10x + 10x Combine like terms: -18x + 10x = -8x 12 + -8x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + -8x = 10 + 0 12 + -8x = 10 Add '-12' to each side of the equation. 12 + -12 + -8x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 10 + -12 -8x = 10 + -12 Combine like terms: 10 + -12 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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