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Simplifying 2(3x + -4) = 3(-2x + 3) + 4 Reorder the terms: 2(-4 + 3x) = 3(-2x + 3) + 4 (-4 * 2 + 3x * 2) = 3(-2x + 3) + 4 (-8 + 6x) = 3(-2x + 3) + 4 Reorder the terms: -8 + 6x = 3(3 + -2x) + 4 -8 + 6x = (3 * 3 + -2x * 3) + 4 -8 + 6x = (9 + -6x) + 4 Reorder the terms: -8 + 6x = 9 + 4 + -6x Combine like terms: 9 + 4 = 13 -8 + 6x = 13 + -6x Solving -8 + 6x = 13 + -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. -8 + 6x + 6x = 13 + -6x + 6x Combine like terms: 6x + 6x = 12x -8 + 12x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 12x = 13 + 0 -8 + 12x = 13 Add '8' to each side of the equation. -8 + 8 + 12x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 13 + 8 12x = 13 + 8 Combine like terms: 13 + 8 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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