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Simplifying 5(x + 2) + -6 = 4x + 13 Reorder the terms: 5(2 + x) + -6 = 4x + 13 (2 * 5 + x * 5) + -6 = 4x + 13 (10 + 5x) + -6 = 4x + 13 Reorder the terms: 10 + -6 + 5x = 4x + 13 Combine like terms: 10 + -6 = 4 4 + 5x = 4x + 13 Reorder the terms: 4 + 5x = 13 + 4x Solving 4 + 5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 5x + -4x = 13 + 4x + -4x Combine like terms: 5x + -4x = 1x 4 + 1x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 1x = 13 + 0 4 + 1x = 13 Add '-4' to each side of the equation. 4 + -4 + 1x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 13 + -4 1x = 13 + -4 Combine like terms: 13 + -4 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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