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Simplifying 2(x + 2) + -5 = 3x + 7 Reorder the terms: 2(2 + x) + -5 = 3x + 7 (2 * 2 + x * 2) + -5 = 3x + 7 (4 + 2x) + -5 = 3x + 7 Reorder the terms: 4 + -5 + 2x = 3x + 7 Combine like terms: 4 + -5 = -1 -1 + 2x = 3x + 7 Reorder the terms: -1 + 2x = 7 + 3x Solving -1 + 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. -1 + 2x + -3x = 7 + 3x + -3x Combine like terms: 2x + -3x = -1x -1 + -1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -1x = 7 + 0 -1 + -1x = 7 Add '1' to each side of the equation. -1 + 1 + -1x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 7 + 1 -1x = 7 + 1 Combine like terms: 7 + 1 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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