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Simplifying -5(3x + -9) = 2(x + -5) + -13 Reorder the terms: -5(-9 + 3x) = 2(x + -5) + -13 (-9 * -5 + 3x * -5) = 2(x + -5) + -13 (45 + -15x) = 2(x + -5) + -13 Reorder the terms: 45 + -15x = 2(-5 + x) + -13 45 + -15x = (-5 * 2 + x * 2) + -13 45 + -15x = (-10 + 2x) + -13 Reorder the terms: 45 + -15x = -10 + -13 + 2x Combine like terms: -10 + -13 = -23 45 + -15x = -23 + 2x Solving 45 + -15x = -23 + 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. 45 + -15x + -2x = -23 + 2x + -2x Combine like terms: -15x + -2x = -17x 45 + -17x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -17x = -23 + 0 45 + -17x = -23 Add '-45' to each side of the equation. 45 + -45 + -17x = -23 + -45 Combine like terms: 45 + -45 = 0 0 + -17x = -23 + -45 -17x = -23 + -45 Combine like terms: -23 + -45 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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