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Simplifying 2(3x + -2) = 5 + -3(2x + -4) Reorder the terms: 2(-2 + 3x) = 5 + -3(2x + -4) (-2 * 2 + 3x * 2) = 5 + -3(2x + -4) (-4 + 6x) = 5 + -3(2x + -4) Reorder the terms: -4 + 6x = 5 + -3(-4 + 2x) -4 + 6x = 5 + (-4 * -3 + 2x * -3) -4 + 6x = 5 + (12 + -6x) Combine like terms: 5 + 12 = 17 -4 + 6x = 17 + -6x Solving -4 + 6x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 6x + 6x = 17 + -6x + 6x Combine like terms: 6x + 6x = 12x -4 + 12x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 12x = 17 + 0 -4 + 12x = 17 Add '4' to each side of the equation. -4 + 4 + 12x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 17 + 4 12x = 17 + 4 Combine like terms: 17 + 4 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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