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Simplifying 10(-2x + 1) = -19x + 1 Reorder the terms: 10(1 + -2x) = -19x + 1 (1 * 10 + -2x * 10) = -19x + 1 (10 + -20x) = -19x + 1 Reorder the terms: 10 + -20x = 1 + -19x Solving 10 + -20x = 1 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 10 + -20x + 19x = 1 + -19x + 19x Combine like terms: -20x + 19x = -1x 10 + -1x = 1 + -19x + 19x Combine like terms: -19x + 19x = 0 10 + -1x = 1 + 0 10 + -1x = 1 Add '-10' to each side of the equation. 10 + -10 + -1x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 1 + -10 -1x = 1 + -10 Combine like terms: 1 + -10 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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