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Simplifying 3(x + -6) + 4(8 + x) = 210 Reorder the terms: 3(-6 + x) + 4(8 + x) = 210 (-6 * 3 + x * 3) + 4(8 + x) = 210 (-18 + 3x) + 4(8 + x) = 210 -18 + 3x + (8 * 4 + x * 4) = 210 -18 + 3x + (32 + 4x) = 210 Reorder the terms: -18 + 32 + 3x + 4x = 210 Combine like terms: -18 + 32 = 14 14 + 3x + 4x = 210 Combine like terms: 3x + 4x = 7x 14 + 7x = 210 Solving 14 + 7x = 210 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 210 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 210 + -14 7x = 210 + -14 Combine like terms: 210 + -14 = 196 7x = 196 Divide each side by '7'. x = 28 Simplifying x = 28
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