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Simplifying 2(4x + -2) = 3(-3x + 4) Reorder the terms: 2(-2 + 4x) = 3(-3x + 4) (-2 * 2 + 4x * 2) = 3(-3x + 4) (-4 + 8x) = 3(-3x + 4) Reorder the terms: -4 + 8x = 3(4 + -3x) -4 + 8x = (4 * 3 + -3x * 3) -4 + 8x = (12 + -9x) Solving -4 + 8x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + 8x + 9x = 12 + -9x + 9x Combine like terms: 8x + 9x = 17x -4 + 17x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 17x = 12 + 0 -4 + 17x = 12 Add '4' to each side of the equation. -4 + 4 + 17x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 17x = 12 + 4 17x = 12 + 4 Combine like terms: 12 + 4 = 16 17x = 16 Divide each side by '17'. x = 0.9411764706 Simplifying x = 0.9411764706
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