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Simplifying 5(-2x + -3) = 13(x + 5) Reorder the terms: 5(-3 + -2x) = 13(x + 5) (-3 * 5 + -2x * 5) = 13(x + 5) (-15 + -10x) = 13(x + 5) Reorder the terms: -15 + -10x = 13(5 + x) -15 + -10x = (5 * 13 + x * 13) -15 + -10x = (65 + 13x) Solving -15 + -10x = 65 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -15 + -10x + -13x = 65 + 13x + -13x Combine like terms: -10x + -13x = -23x -15 + -23x = 65 + 13x + -13x Combine like terms: 13x + -13x = 0 -15 + -23x = 65 + 0 -15 + -23x = 65 Add '15' to each side of the equation. -15 + 15 + -23x = 65 + 15 Combine like terms: -15 + 15 = 0 0 + -23x = 65 + 15 -23x = 65 + 15 Combine like terms: 65 + 15 = 80 -23x = 80 Divide each side by '-23'. x = -3.47826087 Simplifying x = -3.47826087
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