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Simplifying 65 = -5x + 5(-2x + -17) Reorder the terms: 65 = -5x + 5(-17 + -2x) 65 = -5x + (-17 * 5 + -2x * 5) 65 = -5x + (-85 + -10x) Reorder the terms: 65 = -85 + -5x + -10x Combine like terms: -5x + -10x = -15x 65 = -85 + -15x Solving 65 = -85 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 65 + 15x = -85 + -15x + 15x Combine like terms: -15x + 15x = 0 65 + 15x = -85 + 0 65 + 15x = -85 Add '-65' to each side of the equation. 65 + -65 + 15x = -85 + -65 Combine like terms: 65 + -65 = 0 0 + 15x = -85 + -65 15x = -85 + -65 Combine like terms: -85 + -65 = -150 15x = -150 Divide each side by '15'. x = -10 Simplifying x = -10
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