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Simplifying 4(-1x + 3) = 5(x + -2) Reorder the terms: 4(3 + -1x) = 5(x + -2) (3 * 4 + -1x * 4) = 5(x + -2) (12 + -4x) = 5(x + -2) Reorder the terms: 12 + -4x = 5(-2 + x) 12 + -4x = (-2 * 5 + x * 5) 12 + -4x = (-10 + 5x) Solving 12 + -4x = -10 + 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. 12 + -4x + -5x = -10 + 5x + -5x Combine like terms: -4x + -5x = -9x 12 + -9x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -9x = -10 + 0 12 + -9x = -10 Add '-12' to each side of the equation. 12 + -12 + -9x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -10 + -12 -9x = -10 + -12 Combine like terms: -10 + -12 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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