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Simplifying 70 + -1(5x + 5) = 5(x + 2) + x Reorder the terms: 70 + -1(5 + 5x) = 5(x + 2) + x 70 + (5 * -1 + 5x * -1) = 5(x + 2) + x 70 + (-5 + -5x) = 5(x + 2) + x Combine like terms: 70 + -5 = 65 65 + -5x = 5(x + 2) + x Reorder the terms: 65 + -5x = 5(2 + x) + x 65 + -5x = (2 * 5 + x * 5) + x 65 + -5x = (10 + 5x) + x Combine like terms: 5x + x = 6x 65 + -5x = 10 + 6x Solving 65 + -5x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 65 + -5x + -6x = 10 + 6x + -6x Combine like terms: -5x + -6x = -11x 65 + -11x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 65 + -11x = 10 + 0 65 + -11x = 10 Add '-65' to each side of the equation. 65 + -65 + -11x = 10 + -65 Combine like terms: 65 + -65 = 0 0 + -11x = 10 + -65 -11x = 10 + -65 Combine like terms: 10 + -65 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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