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Simplifying 5(-2x + 1) = -4(3x + 2) Reorder the terms: 5(1 + -2x) = -4(3x + 2) (1 * 5 + -2x * 5) = -4(3x + 2) (5 + -10x) = -4(3x + 2) Reorder the terms: 5 + -10x = -4(2 + 3x) 5 + -10x = (2 * -4 + 3x * -4) 5 + -10x = (-8 + -12x) Solving 5 + -10x = -8 + -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. 5 + -10x + 12x = -8 + -12x + 12x Combine like terms: -10x + 12x = 2x 5 + 2x = -8 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 2x = -8 + 0 5 + 2x = -8 Add '-5' to each side of the equation. 5 + -5 + 2x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -8 + -5 2x = -8 + -5 Combine like terms: -8 + -5 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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