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Simplifying 7 + 2(x + -2) = 7 + -7(x + -3) Reorder the terms: 7 + 2(-2 + x) = 7 + -7(x + -3) 7 + (-2 * 2 + x * 2) = 7 + -7(x + -3) 7 + (-4 + 2x) = 7 + -7(x + -3) Combine like terms: 7 + -4 = 3 3 + 2x = 7 + -7(x + -3) Reorder the terms: 3 + 2x = 7 + -7(-3 + x) 3 + 2x = 7 + (-3 * -7 + x * -7) 3 + 2x = 7 + (21 + -7x) Combine like terms: 7 + 21 = 28 3 + 2x = 28 + -7x Solving 3 + 2x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 2x + 7x = 28 + -7x + 7x Combine like terms: 2x + 7x = 9x 3 + 9x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 9x = 28 + 0 3 + 9x = 28 Add '-3' to each side of the equation. 3 + -3 + 9x = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 28 + -3 9x = 28 + -3 Combine like terms: 28 + -3 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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