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Simplifying 2x + 4(2x + 7) = 3(2x + 4) Reorder the terms: 2x + 4(7 + 2x) = 3(2x + 4) 2x + (7 * 4 + 2x * 4) = 3(2x + 4) 2x + (28 + 8x) = 3(2x + 4) Reorder the terms: 28 + 2x + 8x = 3(2x + 4) Combine like terms: 2x + 8x = 10x 28 + 10x = 3(2x + 4) Reorder the terms: 28 + 10x = 3(4 + 2x) 28 + 10x = (4 * 3 + 2x * 3) 28 + 10x = (12 + 6x) Solving 28 + 10x = 12 + 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. 28 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 28 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 4x = 12 + 0 28 + 4x = 12 Add '-28' to each side of the equation. 28 + -28 + 4x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 12 + -28 4x = 12 + -28 Combine like terms: 12 + -28 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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