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Simplifying 2(x + -2) + -7(6x + 2) = 22 Reorder the terms: 2(-2 + x) + -7(6x + 2) = 22 (-2 * 2 + x * 2) + -7(6x + 2) = 22 (-4 + 2x) + -7(6x + 2) = 22 Reorder the terms: -4 + 2x + -7(2 + 6x) = 22 -4 + 2x + (2 * -7 + 6x * -7) = 22 -4 + 2x + (-14 + -42x) = 22 Reorder the terms: -4 + -14 + 2x + -42x = 22 Combine like terms: -4 + -14 = -18 -18 + 2x + -42x = 22 Combine like terms: 2x + -42x = -40x -18 + -40x = 22 Solving -18 + -40x = 22 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 + -40x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + -40x = 22 + 18 -40x = 22 + 18 Combine like terms: 22 + 18 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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