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Simplifying 3x + 6 = 2(x + 4) + 89 Reorder the terms: 6 + 3x = 2(x + 4) + 89 Reorder the terms: 6 + 3x = 2(4 + x) + 89 6 + 3x = (4 * 2 + x * 2) + 89 6 + 3x = (8 + 2x) + 89 Reorder the terms: 6 + 3x = 8 + 89 + 2x Combine like terms: 8 + 89 = 97 6 + 3x = 97 + 2x Solving 6 + 3x = 97 + 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. 6 + 3x + -2x = 97 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = 97 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = 97 + 0 6 + 1x = 97 Add '-6' to each side of the equation. 6 + -6 + 1x = 97 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 97 + -6 1x = 97 + -6 Combine like terms: 97 + -6 = 91 1x = 91 Divide each side by '1'. x = 91 Simplifying x = 91
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