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Simplifying -2x + 1 + -1(2 + x) + -7 = -4x + 7 -2x + 1 + (2 * -1 + x * -1) + -7 = -4x + 7 -2x + 1 + (-2 + -1x) + -7 = -4x + 7 Reorder the terms: 1 + -2 + -7 + -2x + -1x = -4x + 7 Combine like terms: 1 + -2 = -1 -1 + -7 + -2x + -1x = -4x + 7 Combine like terms: -1 + -7 = -8 -8 + -2x + -1x = -4x + 7 Combine like terms: -2x + -1x = -3x -8 + -3x = -4x + 7 Reorder the terms: -8 + -3x = 7 + -4x Solving -8 + -3x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + -3x + 4x = 7 + -4x + 4x Combine like terms: -3x + 4x = 1x -8 + 1x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 1x = 7 + 0 -8 + 1x = 7 Add '8' to each side of the equation. -8 + 8 + 1x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 7 + 8 1x = 7 + 8 Combine like terms: 7 + 8 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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