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