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Simplifying 4(-2x + 5) = 6(3x + -2) Reorder the terms: 4(5 + -2x) = 6(3x + -2) (5 * 4 + -2x * 4) = 6(3x + -2) (20 + -8x) = 6(3x + -2) Reorder the terms: 20 + -8x = 6(-2 + 3x) 20 + -8x = (-2 * 6 + 3x * 6) 20 + -8x = (-12 + 18x) Solving 20 + -8x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 20 + -8x + -18x = -12 + 18x + -18x Combine like terms: -8x + -18x = -26x 20 + -26x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -26x = -12 + 0 20 + -26x = -12 Add '-20' to each side of the equation. 20 + -20 + -26x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -26x = -12 + -20 -26x = -12 + -20 Combine like terms: -12 + -20 = -32 -26x = -32 Divide each side by '-26'. x = 1.230769231 Simplifying x = 1.230769231
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