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Simplifying 7 + -2(x + 2) = 7(x + 5) + -8 Reorder the terms: 7 + -2(2 + x) = 7(x + 5) + -8 7 + (2 * -2 + x * -2) = 7(x + 5) + -8 7 + (-4 + -2x) = 7(x + 5) + -8 Combine like terms: 7 + -4 = 3 3 + -2x = 7(x + 5) + -8 Reorder the terms: 3 + -2x = 7(5 + x) + -8 3 + -2x = (5 * 7 + x * 7) + -8 3 + -2x = (35 + 7x) + -8 Reorder the terms: 3 + -2x = 35 + -8 + 7x Combine like terms: 35 + -8 = 27 3 + -2x = 27 + 7x Solving 3 + -2x = 27 + 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 = 27 + 7x + -7x Combine like terms: -2x + -7x = -9x 3 + -9x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -9x = 27 + 0 3 + -9x = 27 Add '-3' to each side of the equation. 3 + -3 + -9x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 27 + -3 -9x = 27 + -3 Combine like terms: 27 + -3 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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