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Simplifying -65 + 20x + 3 = 5(5x + -4) + -7 Reorder the terms: -65 + 3 + 20x = 5(5x + -4) + -7 Combine like terms: -65 + 3 = -62 -62 + 20x = 5(5x + -4) + -7 Reorder the terms: -62 + 20x = 5(-4 + 5x) + -7 -62 + 20x = (-4 * 5 + 5x * 5) + -7 -62 + 20x = (-20 + 25x) + -7 Reorder the terms: -62 + 20x = -20 + -7 + 25x Combine like terms: -20 + -7 = -27 -62 + 20x = -27 + 25x Solving -62 + 20x = -27 + 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. -62 + 20x + -25x = -27 + 25x + -25x Combine like terms: 20x + -25x = -5x -62 + -5x = -27 + 25x + -25x Combine like terms: 25x + -25x = 0 -62 + -5x = -27 + 0 -62 + -5x = -27 Add '62' to each side of the equation. -62 + 62 + -5x = -27 + 62 Combine like terms: -62 + 62 = 0 0 + -5x = -27 + 62 -5x = -27 + 62 Combine like terms: -27 + 62 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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