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Simplifying 3x + -8 = 3 + 2(x + 3) Reorder the terms: -8 + 3x = 3 + 2(x + 3) Reorder the terms: -8 + 3x = 3 + 2(3 + x) -8 + 3x = 3 + (3 * 2 + x * 2) -8 + 3x = 3 + (6 + 2x) Combine like terms: 3 + 6 = 9 -8 + 3x = 9 + 2x Solving -8 + 3x = 9 + 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. -8 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = 9 + 0 -8 + 1x = 9 Add '8' to each side of the equation. -8 + 8 + 1x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 9 + 8 1x = 9 + 8 Combine like terms: 9 + 8 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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