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Simplifying 2(4x + 6) + -3x + 2 = x + 32 Reorder the terms: 2(6 + 4x) + -3x + 2 = x + 32 (6 * 2 + 4x * 2) + -3x + 2 = x + 32 (12 + 8x) + -3x + 2 = x + 32 Reorder the terms: 12 + 2 + 8x + -3x = x + 32 Combine like terms: 12 + 2 = 14 14 + 8x + -3x = x + 32 Combine like terms: 8x + -3x = 5x 14 + 5x = x + 32 Reorder the terms: 14 + 5x = 32 + x Solving 14 + 5x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 5x + -1x = 32 + x + -1x Combine like terms: 5x + -1x = 4x 14 + 4x = 32 + x + -1x Combine like terms: x + -1x = 0 14 + 4x = 32 + 0 14 + 4x = 32 Add '-14' to each side of the equation. 14 + -14 + 4x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 32 + -14 4x = 32 + -14 Combine like terms: 32 + -14 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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