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Simplifying 6(x + 4) + 5(2x + -1) = 7 Reorder the terms: 6(4 + x) + 5(2x + -1) = 7 (4 * 6 + x * 6) + 5(2x + -1) = 7 (24 + 6x) + 5(2x + -1) = 7 Reorder the terms: 24 + 6x + 5(-1 + 2x) = 7 24 + 6x + (-1 * 5 + 2x * 5) = 7 24 + 6x + (-5 + 10x) = 7 Reorder the terms: 24 + -5 + 6x + 10x = 7 Combine like terms: 24 + -5 = 19 19 + 6x + 10x = 7 Combine like terms: 6x + 10x = 16x 19 + 16x = 7 Solving 19 + 16x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 16x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 16x = 7 + -19 16x = 7 + -19 Combine like terms: 7 + -19 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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