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Simplifying 65 = 5(x + 7) + -35 Reorder the terms: 65 = 5(7 + x) + -35 65 = (7 * 5 + x * 5) + -35 65 = (35 + 5x) + -35 Reorder the terms: 65 = 35 + -35 + 5x Combine like terms: 35 + -35 = 0 65 = 0 + 5x 65 = 5x Solving 65 = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 65 + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 65 + -5x = 0 Add '-65' to each side of the equation. 65 + -65 + -5x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -5x = 0 + -65 -5x = 0 + -65 Combine like terms: 0 + -65 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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