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Simplifying 7(x + -2) = 18 + x + -2(x + -2) Reorder the terms: 7(-2 + x) = 18 + x + -2(x + -2) (-2 * 7 + x * 7) = 18 + x + -2(x + -2) (-14 + 7x) = 18 + x + -2(x + -2) Reorder the terms: -14 + 7x = 18 + x + -2(-2 + x) -14 + 7x = 18 + x + (-2 * -2 + x * -2) -14 + 7x = 18 + x + (4 + -2x) Reorder the terms: -14 + 7x = 18 + 4 + x + -2x Combine like terms: 18 + 4 = 22 -14 + 7x = 22 + x + -2x Combine like terms: x + -2x = -1x -14 + 7x = 22 + -1x Solving -14 + 7x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14 + 7x + x = 22 + -1x + x Combine like terms: 7x + x = 8x -14 + 8x = 22 + -1x + x Combine like terms: -1x + x = 0 -14 + 8x = 22 + 0 -14 + 8x = 22 Add '14' to each side of the equation. -14 + 14 + 8x = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 22 + 14 8x = 22 + 14 Combine like terms: 22 + 14 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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