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Simplifying 40x + 25 = 5(3x + -30) Reorder the terms: 25 + 40x = 5(3x + -30) Reorder the terms: 25 + 40x = 5(-30 + 3x) 25 + 40x = (-30 * 5 + 3x * 5) 25 + 40x = (-150 + 15x) Solving 25 + 40x = -150 + 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. 25 + 40x + -15x = -150 + 15x + -15x Combine like terms: 40x + -15x = 25x 25 + 25x = -150 + 15x + -15x Combine like terms: 15x + -15x = 0 25 + 25x = -150 + 0 25 + 25x = -150 Add '-25' to each side of the equation. 25 + -25 + 25x = -150 + -25 Combine like terms: 25 + -25 = 0 0 + 25x = -150 + -25 25x = -150 + -25 Combine like terms: -150 + -25 = -175 25x = -175 Divide each side by '25'. x = -7 Simplifying x = -7
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