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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 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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