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