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Simplifying 2(3x + -4) = -3(x + 1) Reorder the terms: 2(-4 + 3x) = -3(x + 1) (-4 * 2 + 3x * 2) = -3(x + 1) (-8 + 6x) = -3(x + 1) Reorder the terms: -8 + 6x = -3(1 + x) -8 + 6x = (1 * -3 + x * -3) -8 + 6x = (-3 + -3x) Solving -8 + 6x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 6x + 3x = -3 + -3x + 3x Combine like terms: 6x + 3x = 9x -8 + 9x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 9x = -3 + 0 -8 + 9x = -3 Add '8' to each side of the equation. -8 + 8 + 9x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -3 + 8 9x = -3 + 8 Combine like terms: -3 + 8 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556
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