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Simplifying 2(-3x + 4) = 5(-1x) Reorder the terms: 2(4 + -3x) = 5(-1x) (4 * 2 + -3x * 2) = 5(-1x) (8 + -6x) = 5(-1x) Remove parenthesis around (-1x) 8 + -6x = 5 * -1x Multiply 5 * -1 8 + -6x = -5x Solving 8 + -6x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -6x + 5x = -5x + 5x Combine like terms: -6x + 5x = -1x 8 + -1x = -5x + 5x Combine like terms: -5x + 5x = 0 8 + -1x = 0 Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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