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Simplifying 10(-2x + 1) = -19(x + 1) Reorder the terms: 10(1 + -2x) = -19(x + 1) (1 * 10 + -2x * 10) = -19(x + 1) (10 + -20x) = -19(x + 1) Reorder the terms: 10 + -20x = -19(1 + x) 10 + -20x = (1 * -19 + x * -19) 10 + -20x = (-19 + -19x) Solving 10 + -20x = -19 + -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 = -19 + -19x + 19x Combine like terms: -20x + 19x = -1x 10 + -1x = -19 + -19x + 19x Combine like terms: -19x + 19x = 0 10 + -1x = -19 + 0 10 + -1x = -19 Add '-10' to each side of the equation. 10 + -10 + -1x = -19 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -19 + -10 -1x = -19 + -10 Combine like terms: -19 + -10 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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