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Simplifying 3(x + -2) = -4(5 + -3x) Reorder the terms: 3(-2 + x) = -4(5 + -3x) (-2 * 3 + x * 3) = -4(5 + -3x) (-6 + 3x) = -4(5 + -3x) -6 + 3x = (5 * -4 + -3x * -4) -6 + 3x = (-20 + 12x) Solving -6 + 3x = -20 + 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. -6 + 3x + -12x = -20 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x = -20 + 0 -6 + -9x = -20 Add '6' to each side of the equation. -6 + 6 + -9x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -20 + 6 -9x = -20 + 6 Combine like terms: -20 + 6 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556
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