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Simplifying 3x + 4 = ((2x + 7) + 25) * 0.5 Reorder the terms: 4 + 3x = ((2x + 7) + 25) * 0.5 Reorder the terms: 4 + 3x = ((7 + 2x) + 25) * 0.5 Remove parenthesis around (7 + 2x) 4 + 3x = (7 + 2x + 25) * 0.5 Reorder the terms: 4 + 3x = (7 + 25 + 2x) * 0.5 Combine like terms: 7 + 25 = 32 4 + 3x = (32 + 2x) * 0.5 Reorder the terms for easier multiplication: 4 + 3x = 0.5(32 + 2x) 4 + 3x = (32 * 0.5 + 2x * 0.5) 4 + 3x = (16 + 1x) Solving 4 + 3x = 16 + 1x 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. 4 + 3x + -1x = 16 + 1x + -1x Combine like terms: 3x + -1x = 2x 4 + 2x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 2x = 16 + 0 4 + 2x = 16 Add '-4' to each side of the equation. 4 + -4 + 2x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 16 + -4 2x = 16 + -4 Combine like terms: 16 + -4 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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