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Simplifying -1(2x + -4) + 4(3x + 5) = 6(-2x + -3) Reorder the terms: -1(-4 + 2x) + 4(3x + 5) = 6(-2x + -3) (-4 * -1 + 2x * -1) + 4(3x + 5) = 6(-2x + -3) (4 + -2x) + 4(3x + 5) = 6(-2x + -3) Reorder the terms: 4 + -2x + 4(5 + 3x) = 6(-2x + -3) 4 + -2x + (5 * 4 + 3x * 4) = 6(-2x + -3) 4 + -2x + (20 + 12x) = 6(-2x + -3) Reorder the terms: 4 + 20 + -2x + 12x = 6(-2x + -3) Combine like terms: 4 + 20 = 24 24 + -2x + 12x = 6(-2x + -3) Combine like terms: -2x + 12x = 10x 24 + 10x = 6(-2x + -3) Reorder the terms: 24 + 10x = 6(-3 + -2x) 24 + 10x = (-3 * 6 + -2x * 6) 24 + 10x = (-18 + -12x) Solving 24 + 10x = -18 + -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. 24 + 10x + 12x = -18 + -12x + 12x Combine like terms: 10x + 12x = 22x 24 + 22x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 22x = -18 + 0 24 + 22x = -18 Add '-24' to each side of the equation. 24 + -24 + 22x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 22x = -18 + -24 22x = -18 + -24 Combine like terms: -18 + -24 = -42 22x = -42 Divide each side by '22'. x = -1.909090909 Simplifying x = -1.909090909
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