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Simplifying 2(3x + 7) = 4(2x + 2) + 32 Reorder the terms: 2(7 + 3x) = 4(2x + 2) + 32 (7 * 2 + 3x * 2) = 4(2x + 2) + 32 (14 + 6x) = 4(2x + 2) + 32 Reorder the terms: 14 + 6x = 4(2 + 2x) + 32 14 + 6x = (2 * 4 + 2x * 4) + 32 14 + 6x = (8 + 8x) + 32 Reorder the terms: 14 + 6x = 8 + 32 + 8x Combine like terms: 8 + 32 = 40 14 + 6x = 40 + 8x Solving 14 + 6x = 40 + 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. 14 + 6x + -8x = 40 + 8x + -8x Combine like terms: 6x + -8x = -2x 14 + -2x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -2x = 40 + 0 14 + -2x = 40 Add '-14' to each side of the equation. 14 + -14 + -2x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 40 + -14 -2x = 40 + -14 Combine like terms: 40 + -14 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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