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Simplifying 4(2x + 3) + -3(x + -4) = 2(3x + 4) Reorder the terms: 4(3 + 2x) + -3(x + -4) = 2(3x + 4) (3 * 4 + 2x * 4) + -3(x + -4) = 2(3x + 4) (12 + 8x) + -3(x + -4) = 2(3x + 4) Reorder the terms: 12 + 8x + -3(-4 + x) = 2(3x + 4) 12 + 8x + (-4 * -3 + x * -3) = 2(3x + 4) 12 + 8x + (12 + -3x) = 2(3x + 4) Reorder the terms: 12 + 12 + 8x + -3x = 2(3x + 4) Combine like terms: 12 + 12 = 24 24 + 8x + -3x = 2(3x + 4) Combine like terms: 8x + -3x = 5x 24 + 5x = 2(3x + 4) Reorder the terms: 24 + 5x = 2(4 + 3x) 24 + 5x = (4 * 2 + 3x * 2) 24 + 5x = (8 + 6x) Solving 24 + 5x = 8 + 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. 24 + 5x + -6x = 8 + 6x + -6x Combine like terms: 5x + -6x = -1x 24 + -1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -1x = 8 + 0 24 + -1x = 8 Add '-24' to each side of the equation. 24 + -24 + -1x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 8 + -24 -1x = 8 + -24 Combine like terms: 8 + -24 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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