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Simplifying x + 7 = ((x + 25) + 7) * 5 Reorder the terms: 7 + x = ((x + 25) + 7) * 5 Reorder the terms: 7 + x = ((25 + x) + 7) * 5 Remove parenthesis around (25 + x) 7 + x = (25 + x + 7) * 5 Reorder the terms: 7 + x = (25 + 7 + x) * 5 Combine like terms: 25 + 7 = 32 7 + x = (32 + x) * 5 Reorder the terms for easier multiplication: 7 + x = 5(32 + x) 7 + x = (32 * 5 + x * 5) 7 + x = (160 + 5x) Solving 7 + x = 160 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + x + -5x = 160 + 5x + -5x Combine like terms: x + -5x = -4x 7 + -4x = 160 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = 160 + 0 7 + -4x = 160 Add '-7' to each side of the equation. 7 + -7 + -4x = 160 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 160 + -7 -4x = 160 + -7 Combine like terms: 160 + -7 = 153 -4x = 153 Divide each side by '-4'. x = -38.25 Simplifying x = -38.25
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