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Simplifying 3x + -2 + 21 = 2(9.5 + x) + 6 Reorder the terms: -2 + 21 + 3x = 2(9.5 + x) + 6 Combine like terms: -2 + 21 = 19 19 + 3x = 2(9.5 + x) + 6 19 + 3x = (9.5 * 2 + x * 2) + 6 19 + 3x = (19 + 2x) + 6 Reorder the terms: 19 + 3x = 19 + 6 + 2x Combine like terms: 19 + 6 = 25 19 + 3x = 25 + 2x Solving 19 + 3x = 25 + 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. 19 + 3x + -2x = 25 + 2x + -2x Combine like terms: 3x + -2x = 1x 19 + 1x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 1x = 25 + 0 19 + 1x = 25 Add '-19' to each side of the equation. 19 + -19 + 1x = 25 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 25 + -19 1x = 25 + -19 Combine like terms: 25 + -19 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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