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Simplifying 7(x + 10) + -7 = 90 + -2x Reorder the terms: 7(10 + x) + -7 = 90 + -2x (10 * 7 + x * 7) + -7 = 90 + -2x (70 + 7x) + -7 = 90 + -2x Reorder the terms: 70 + -7 + 7x = 90 + -2x Combine like terms: 70 + -7 = 63 63 + 7x = 90 + -2x Solving 63 + 7x = 90 + -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. 63 + 7x + 2x = 90 + -2x + 2x Combine like terms: 7x + 2x = 9x 63 + 9x = 90 + -2x + 2x Combine like terms: -2x + 2x = 0 63 + 9x = 90 + 0 63 + 9x = 90 Add '-63' to each side of the equation. 63 + -63 + 9x = 90 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = 90 + -63 9x = 90 + -63 Combine like terms: 90 + -63 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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