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