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Simplifying 40x + 1225 = 15(x + 135) Reorder the terms: 1225 + 40x = 15(x + 135) Reorder the terms: 1225 + 40x = 15(135 + x) 1225 + 40x = (135 * 15 + x * 15) 1225 + 40x = (2025 + 15x) Solving 1225 + 40x = 2025 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1225 + 40x + -15x = 2025 + 15x + -15x Combine like terms: 40x + -15x = 25x 1225 + 25x = 2025 + 15x + -15x Combine like terms: 15x + -15x = 0 1225 + 25x = 2025 + 0 1225 + 25x = 2025 Add '-1225' to each side of the equation. 1225 + -1225 + 25x = 2025 + -1225 Combine like terms: 1225 + -1225 = 0 0 + 25x = 2025 + -1225 25x = 2025 + -1225 Combine like terms: 2025 + -1225 = 800 25x = 800 Divide each side by '25'. x = 32 Simplifying x = 32
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