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Simplifying 5(x + 3) + -11 = 4x + 6 Reorder the terms: 5(3 + x) + -11 = 4x + 6 (3 * 5 + x * 5) + -11 = 4x + 6 (15 + 5x) + -11 = 4x + 6 Reorder the terms: 15 + -11 + 5x = 4x + 6 Combine like terms: 15 + -11 = 4 4 + 5x = 4x + 6 Reorder the terms: 4 + 5x = 6 + 4x Solving 4 + 5x = 6 + 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 = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x 4 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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