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Simplifying 2(-3x + 5) = -3(-4x + -8) Reorder the terms: 2(5 + -3x) = -3(-4x + -8) (5 * 2 + -3x * 2) = -3(-4x + -8) (10 + -6x) = -3(-4x + -8) Reorder the terms: 10 + -6x = -3(-8 + -4x) 10 + -6x = (-8 * -3 + -4x * -3) 10 + -6x = (24 + 12x) Solving 10 + -6x = 24 + 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. 10 + -6x + -12x = 24 + 12x + -12x Combine like terms: -6x + -12x = -18x 10 + -18x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -18x = 24 + 0 10 + -18x = 24 Add '-10' to each side of the equation. 10 + -10 + -18x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = 24 + -10 -18x = 24 + -10 Combine like terms: 24 + -10 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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