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Simplifying -13(x + 20) = -11x + 38 Reorder the terms: -13(20 + x) = -11x + 38 (20 * -13 + x * -13) = -11x + 38 (-260 + -13x) = -11x + 38 Reorder the terms: -260 + -13x = 38 + -11x Solving -260 + -13x = 38 + -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 = 38 + -11x + 11x Combine like terms: -13x + 11x = -2x -260 + -2x = 38 + -11x + 11x Combine like terms: -11x + 11x = 0 -260 + -2x = 38 + 0 -260 + -2x = 38 Add '260' to each side of the equation. -260 + 260 + -2x = 38 + 260 Combine like terms: -260 + 260 = 0 0 + -2x = 38 + 260 -2x = 38 + 260 Combine like terms: 38 + 260 = 298 -2x = 298 Divide each side by '-2'. x = -149 Simplifying x = -149
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