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Simplifying -2(10x + -20) = -19(22 + -2x) Reorder the terms: -2(-20 + 10x) = -19(22 + -2x) (-20 * -2 + 10x * -2) = -19(22 + -2x) (40 + -20x) = -19(22 + -2x) 40 + -20x = (22 * -19 + -2x * -19) 40 + -20x = (-418 + 38x) Solving 40 + -20x = -418 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 40 + -20x + -38x = -418 + 38x + -38x Combine like terms: -20x + -38x = -58x 40 + -58x = -418 + 38x + -38x Combine like terms: 38x + -38x = 0 40 + -58x = -418 + 0 40 + -58x = -418 Add '-40' to each side of the equation. 40 + -40 + -58x = -418 + -40 Combine like terms: 40 + -40 = 0 0 + -58x = -418 + -40 -58x = -418 + -40 Combine like terms: -418 + -40 = -458 -58x = -458 Divide each side by '-58'. x = 7.896551724 Simplifying x = 7.896551724
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