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Simplifying 5 + -1(2x + 7) = 18 + -6x Reorder the terms: 5 + -1(7 + 2x) = 18 + -6x 5 + (7 * -1 + 2x * -1) = 18 + -6x 5 + (-7 + -2x) = 18 + -6x Combine like terms: 5 + -7 = -2 -2 + -2x = 18 + -6x Solving -2 + -2x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -2x + 6x = 18 + -6x + 6x Combine like terms: -2x + 6x = 4x -2 + 4x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 4x = 18 + 0 -2 + 4x = 18 Add '2' to each side of the equation. -2 + 2 + 4x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 18 + 2 4x = 18 + 2 Combine like terms: 18 + 2 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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