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Simplifying -13(x + 20) = -11(x + 38) Reorder the terms: -13(20 + x) = -11(x + 38) (20 * -13 + x * -13) = -11(x + 38) (-260 + -13x) = -11(x + 38) Reorder the terms: -260 + -13x = -11(38 + x) -260 + -13x = (38 * -11 + x * -11) -260 + -13x = (-418 + -11x) Solving -260 + -13x = -418 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -260 + -13x + 11x = -418 + -11x + 11x Combine like terms: -13x + 11x = -2x -260 + -2x = -418 + -11x + 11x Combine like terms: -11x + 11x = 0 -260 + -2x = -418 + 0 -260 + -2x = -418 Add '260' to each side of the equation. -260 + 260 + -2x = -418 + 260 Combine like terms: -260 + 260 = 0 0 + -2x = -418 + 260 -2x = -418 + 260 Combine like terms: -418 + 260 = -158 -2x = -158 Divide each side by '-2'. x = 79 Simplifying x = 79
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