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Simplifying 2(x + -1) + 4 = 3x + 7 Reorder the terms: 2(-1 + x) + 4 = 3x + 7 (-1 * 2 + x * 2) + 4 = 3x + 7 (-2 + 2x) + 4 = 3x + 7 Reorder the terms: -2 + 4 + 2x = 3x + 7 Combine like terms: -2 + 4 = 2 2 + 2x = 3x + 7 Reorder the terms: 2 + 2x = 7 + 3x Solving 2 + 2x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 2x + -3x = 7 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = 7 + 0 2 + -1x = 7 Add '-2' to each side of the equation. 2 + -2 + -1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 7 + -2 -1x = 7 + -2 Combine like terms: 7 + -2 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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