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Simplifying x + -71 = 10(2x + 3) + -25 Reorder the terms: -71 + x = 10(2x + 3) + -25 Reorder the terms: -71 + x = 10(3 + 2x) + -25 -71 + x = (3 * 10 + 2x * 10) + -25 -71 + x = (30 + 20x) + -25 Reorder the terms: -71 + x = 30 + -25 + 20x Combine like terms: 30 + -25 = 5 -71 + x = 5 + 20x Solving -71 + x = 5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -71 + x + -20x = 5 + 20x + -20x Combine like terms: x + -20x = -19x -71 + -19x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -71 + -19x = 5 + 0 -71 + -19x = 5 Add '71' to each side of the equation. -71 + 71 + -19x = 5 + 71 Combine like terms: -71 + 71 = 0 0 + -19x = 5 + 71 -19x = 5 + 71 Combine like terms: 5 + 71 = 76 -19x = 76 Divide each side by '-19'. x = -4 Simplifying x = -4
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