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Simplifying 5(13 + -1x) = 3(x + -5) (13 * 5 + -1x * 5) = 3(x + -5) (65 + -5x) = 3(x + -5) Reorder the terms: 65 + -5x = 3(-5 + x) 65 + -5x = (-5 * 3 + x * 3) 65 + -5x = (-15 + 3x) Solving 65 + -5x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 65 + -5x + -3x = -15 + 3x + -3x Combine like terms: -5x + -3x = -8x 65 + -8x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 65 + -8x = -15 + 0 65 + -8x = -15 Add '-65' to each side of the equation. 65 + -65 + -8x = -15 + -65 Combine like terms: 65 + -65 = 0 0 + -8x = -15 + -65 -8x = -15 + -65 Combine like terms: -15 + -65 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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