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Simplifying 5(6x + -1) + 7(4x + 4) = 52 Reorder the terms: 5(-1 + 6x) + 7(4x + 4) = 52 (-1 * 5 + 6x * 5) + 7(4x + 4) = 52 (-5 + 30x) + 7(4x + 4) = 52 Reorder the terms: -5 + 30x + 7(4 + 4x) = 52 -5 + 30x + (4 * 7 + 4x * 7) = 52 -5 + 30x + (28 + 28x) = 52 Reorder the terms: -5 + 28 + 30x + 28x = 52 Combine like terms: -5 + 28 = 23 23 + 30x + 28x = 52 Combine like terms: 30x + 28x = 58x 23 + 58x = 52 Solving 23 + 58x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 58x = 52 + -23 Combine like terms: 23 + -23 = 0 0 + 58x = 52 + -23 58x = 52 + -23 Combine like terms: 52 + -23 = 29 58x = 29 Divide each side by '58'. x = 0.5 Simplifying x = 0.5
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