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Simplifying 2(x + -1) + -7 = -2(x + 2) + -9 Reorder the terms: 2(-1 + x) + -7 = -2(x + 2) + -9 (-1 * 2 + x * 2) + -7 = -2(x + 2) + -9 (-2 + 2x) + -7 = -2(x + 2) + -9 Reorder the terms: -2 + -7 + 2x = -2(x + 2) + -9 Combine like terms: -2 + -7 = -9 -9 + 2x = -2(x + 2) + -9 Reorder the terms: -9 + 2x = -2(2 + x) + -9 -9 + 2x = (2 * -2 + x * -2) + -9 -9 + 2x = (-4 + -2x) + -9 Reorder the terms: -9 + 2x = -4 + -9 + -2x Combine like terms: -4 + -9 = -13 -9 + 2x = -13 + -2x Solving -9 + 2x = -13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 2x + 2x = -13 + -2x + 2x Combine like terms: 2x + 2x = 4x -9 + 4x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 4x = -13 + 0 -9 + 4x = -13 Add '9' to each side of the equation. -9 + 9 + 4x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -13 + 9 4x = -13 + 9 Combine like terms: -13 + 9 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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