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Simplifying x + 9 = 5(4x + -2) Reorder the terms: 9 + x = 5(4x + -2) Reorder the terms: 9 + x = 5(-2 + 4x) 9 + x = (-2 * 5 + 4x * 5) 9 + x = (-10 + 20x) Solving 9 + x = -10 + 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. 9 + x + -20x = -10 + 20x + -20x Combine like terms: x + -20x = -19x 9 + -19x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 9 + -19x = -10 + 0 9 + -19x = -10 Add '-9' to each side of the equation. 9 + -9 + -19x = -10 + -9 Combine like terms: 9 + -9 = 0 0 + -19x = -10 + -9 -19x = -10 + -9 Combine like terms: -10 + -9 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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