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Simplifying 2(x + -2) + 7(x + -2) = 30 Reorder the terms: 2(-2 + x) + 7(x + -2) = 30 (-2 * 2 + x * 2) + 7(x + -2) = 30 (-4 + 2x) + 7(x + -2) = 30 Reorder the terms: -4 + 2x + 7(-2 + x) = 30 -4 + 2x + (-2 * 7 + x * 7) = 30 -4 + 2x + (-14 + 7x) = 30 Reorder the terms: -4 + -14 + 2x + 7x = 30 Combine like terms: -4 + -14 = -18 -18 + 2x + 7x = 30 Combine like terms: 2x + 7x = 9x -18 + 9x = 30 Solving -18 + 9x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 30 + 18 9x = 30 + 18 Combine like terms: 30 + 18 = 48 9x = 48 Divide each side by '9'. x = 5.333333333 Simplifying x = 5.333333333
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