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Simplifying 2(3x + -4) = 4(2x + 3) Reorder the terms: 2(-4 + 3x) = 4(2x + 3) (-4 * 2 + 3x * 2) = 4(2x + 3) (-8 + 6x) = 4(2x + 3) Reorder the terms: -8 + 6x = 4(3 + 2x) -8 + 6x = (3 * 4 + 2x * 4) -8 + 6x = (12 + 8x) Solving -8 + 6x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = 12 + 0 -8 + -2x = 12 Add '8' to each side of the equation. -8 + 8 + -2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 12 + 8 -2x = 12 + 8 Combine like terms: 12 + 8 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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