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Simplifying 3(x + 6) + -2 = 2x + 26 Reorder the terms: 3(6 + x) + -2 = 2x + 26 (6 * 3 + x * 3) + -2 = 2x + 26 (18 + 3x) + -2 = 2x + 26 Reorder the terms: 18 + -2 + 3x = 2x + 26 Combine like terms: 18 + -2 = 16 16 + 3x = 2x + 26 Reorder the terms: 16 + 3x = 26 + 2x Solving 16 + 3x = 26 + 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. 16 + 3x + -2x = 26 + 2x + -2x Combine like terms: 3x + -2x = 1x 16 + 1x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 1x = 26 + 0 16 + 1x = 26 Add '-16' to each side of the equation. 16 + -16 + 1x = 26 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 26 + -16 1x = 26 + -16 Combine like terms: 26 + -16 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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