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Simplifying 7 + -2x = 4(5x + -5) + 5x Reorder the terms: 7 + -2x = 4(-5 + 5x) + 5x 7 + -2x = (-5 * 4 + 5x * 4) + 5x 7 + -2x = (-20 + 20x) + 5x Combine like terms: 20x + 5x = 25x 7 + -2x = -20 + 25x Solving 7 + -2x = -20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 7 + -2x + -25x = -20 + 25x + -25x Combine like terms: -2x + -25x = -27x 7 + -27x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 7 + -27x = -20 + 0 7 + -27x = -20 Add '-7' to each side of the equation. 7 + -7 + -27x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -27x = -20 + -7 -27x = -20 + -7 Combine like terms: -20 + -7 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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