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Simplifying 7x + -1(2x + 2) = 7x + -18 Reorder the terms: 7x + -1(2 + 2x) = 7x + -18 7x + (2 * -1 + 2x * -1) = 7x + -18 7x + (-2 + -2x) = 7x + -18 Reorder the terms: -2 + 7x + -2x = 7x + -18 Combine like terms: 7x + -2x = 5x -2 + 5x = 7x + -18 Reorder the terms: -2 + 5x = -18 + 7x Solving -2 + 5x = -18 + 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. -2 + 5x + -7x = -18 + 7x + -7x Combine like terms: 5x + -7x = -2x -2 + -2x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -2x = -18 + 0 -2 + -2x = -18 Add '2' to each side of the equation. -2 + 2 + -2x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -18 + 2 -2x = -18 + 2 Combine like terms: -18 + 2 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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