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Simplifying 4(x + 2) + 5(x + -6) = 58 Reorder the terms: 4(2 + x) + 5(x + -6) = 58 (2 * 4 + x * 4) + 5(x + -6) = 58 (8 + 4x) + 5(x + -6) = 58 Reorder the terms: 8 + 4x + 5(-6 + x) = 58 8 + 4x + (-6 * 5 + x * 5) = 58 8 + 4x + (-30 + 5x) = 58 Reorder the terms: 8 + -30 + 4x + 5x = 58 Combine like terms: 8 + -30 = -22 -22 + 4x + 5x = 58 Combine like terms: 4x + 5x = 9x -22 + 9x = 58 Solving -22 + 9x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 9x = 58 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = 58 + 22 9x = 58 + 22 Combine like terms: 58 + 22 = 80 9x = 80 Divide each side by '9'. x = 8.888888889 Simplifying x = 8.888888889
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