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Simplifying -5(2x + -13) = 2(x + -5) + 3 Reorder the terms: -5(-13 + 2x) = 2(x + -5) + 3 (-13 * -5 + 2x * -5) = 2(x + -5) + 3 (65 + -10x) = 2(x + -5) + 3 Reorder the terms: 65 + -10x = 2(-5 + x) + 3 65 + -10x = (-5 * 2 + x * 2) + 3 65 + -10x = (-10 + 2x) + 3 Reorder the terms: 65 + -10x = -10 + 3 + 2x Combine like terms: -10 + 3 = -7 65 + -10x = -7 + 2x Solving 65 + -10x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 65 + -10x + -2x = -7 + 2x + -2x Combine like terms: -10x + -2x = -12x 65 + -12x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 65 + -12x = -7 + 0 65 + -12x = -7 Add '-65' to each side of the equation. 65 + -65 + -12x = -7 + -65 Combine like terms: 65 + -65 = 0 0 + -12x = -7 + -65 -12x = -7 + -65 Combine like terms: -7 + -65 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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