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Simplifying 2(x + -1) + -7 = 18 + -5(x + 4) Reorder the terms: 2(-1 + x) + -7 = 18 + -5(x + 4) (-1 * 2 + x * 2) + -7 = 18 + -5(x + 4) (-2 + 2x) + -7 = 18 + -5(x + 4) Reorder the terms: -2 + -7 + 2x = 18 + -5(x + 4) Combine like terms: -2 + -7 = -9 -9 + 2x = 18 + -5(x + 4) Reorder the terms: -9 + 2x = 18 + -5(4 + x) -9 + 2x = 18 + (4 * -5 + x * -5) -9 + 2x = 18 + (-20 + -5x) Combine like terms: 18 + -20 = -2 -9 + 2x = -2 + -5x Solving -9 + 2x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + 2x + 5x = -2 + -5x + 5x Combine like terms: 2x + 5x = 7x -9 + 7x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 7x = -2 + 0 -9 + 7x = -2 Add '9' to each side of the equation. -9 + 9 + 7x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = -2 + 9 7x = -2 + 9 Combine like terms: -2 + 9 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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