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Simplifying 3x + -2 = 2(x + 4) + -1 Reorder the terms: -2 + 3x = 2(x + 4) + -1 Reorder the terms: -2 + 3x = 2(4 + x) + -1 -2 + 3x = (4 * 2 + x * 2) + -1 -2 + 3x = (8 + 2x) + -1 Reorder the terms: -2 + 3x = 8 + -1 + 2x Combine like terms: 8 + -1 = 7 -2 + 3x = 7 + 2x Solving -2 + 3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 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 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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