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Simplifying 52 = -2x + -5(-3x + 13) Reorder the terms: 52 = -2x + -5(13 + -3x) 52 = -2x + (13 * -5 + -3x * -5) 52 = -2x + (-65 + 15x) Reorder the terms: 52 = -65 + -2x + 15x Combine like terms: -2x + 15x = 13x 52 = -65 + 13x Solving 52 = -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. 52 + -13x = -65 + 13x + -13x Combine like terms: 13x + -13x = 0 52 + -13x = -65 + 0 52 + -13x = -65 Add '-52' to each side of the equation. 52 + -52 + -13x = -65 + -52 Combine like terms: 52 + -52 = 0 0 + -13x = -65 + -52 -13x = -65 + -52 Combine like terms: -65 + -52 = -117 -13x = -117 Divide each side by '-13'. x = 9 Simplifying x = 9
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