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Simplifying 3(x + -2) = -4(2x + -5) Reorder the terms: 3(-2 + x) = -4(2x + -5) (-2 * 3 + x * 3) = -4(2x + -5) (-6 + 3x) = -4(2x + -5) Reorder the terms: -6 + 3x = -4(-5 + 2x) -6 + 3x = (-5 * -4 + 2x * -4) -6 + 3x = (20 + -8x) Solving -6 + 3x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 3x + 8x = 20 + -8x + 8x Combine like terms: 3x + 8x = 11x -6 + 11x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 11x = 20 + 0 -6 + 11x = 20 Add '6' to each side of the equation. -6 + 6 + 11x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 20 + 6 11x = 20 + 6 Combine like terms: 20 + 6 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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