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Simplifying 7(x + 2) + -4(2x + -1) = 18 + x Reorder the terms: 7(2 + x) + -4(2x + -1) = 18 + x (2 * 7 + x * 7) + -4(2x + -1) = 18 + x (14 + 7x) + -4(2x + -1) = 18 + x Reorder the terms: 14 + 7x + -4(-1 + 2x) = 18 + x 14 + 7x + (-1 * -4 + 2x * -4) = 18 + x 14 + 7x + (4 + -8x) = 18 + x Reorder the terms: 14 + 4 + 7x + -8x = 18 + x Combine like terms: 14 + 4 = 18 18 + 7x + -8x = 18 + x Combine like terms: 7x + -8x = -1x 18 + -1x = 18 + x Add '-18' to each side of the equation. 18 + -18 + -1x = 18 + -18 + x Combine like terms: 18 + -18 = 0 0 + -1x = 18 + -18 + x -1x = 18 + -18 + x Combine like terms: 18 + -18 = 0 -1x = 0 + x -1x = x Solving -1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1x + -1x = x + -1x Combine like terms: -1x + -1x = -2x -2x = x + -1x Combine like terms: x + -1x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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