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Simplifying 6(x + 7) + -4(x + 6) = 21 Reorder the terms: 6(7 + x) + -4(x + 6) = 21 (7 * 6 + x * 6) + -4(x + 6) = 21 (42 + 6x) + -4(x + 6) = 21 Reorder the terms: 42 + 6x + -4(6 + x) = 21 42 + 6x + (6 * -4 + x * -4) = 21 42 + 6x + (-24 + -4x) = 21 Reorder the terms: 42 + -24 + 6x + -4x = 21 Combine like terms: 42 + -24 = 18 18 + 6x + -4x = 21 Combine like terms: 6x + -4x = 2x 18 + 2x = 21 Solving 18 + 2x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 21 + -18 2x = 21 + -18 Combine like terms: 21 + -18 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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