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Simplifying 5(x + 3) + 11 = 3(2 + -1x) + -4 Reorder the terms: 5(3 + x) + 11 = 3(2 + -1x) + -4 (3 * 5 + x * 5) + 11 = 3(2 + -1x) + -4 (15 + 5x) + 11 = 3(2 + -1x) + -4 Reorder the terms: 15 + 11 + 5x = 3(2 + -1x) + -4 Combine like terms: 15 + 11 = 26 26 + 5x = 3(2 + -1x) + -4 26 + 5x = (2 * 3 + -1x * 3) + -4 26 + 5x = (6 + -3x) + -4 Reorder the terms: 26 + 5x = 6 + -4 + -3x Combine like terms: 6 + -4 = 2 26 + 5x = 2 + -3x Solving 26 + 5x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 26 + 5x + 3x = 2 + -3x + 3x Combine like terms: 5x + 3x = 8x 26 + 8x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 26 + 8x = 2 + 0 26 + 8x = 2 Add '-26' to each side of the equation. 26 + -26 + 8x = 2 + -26 Combine like terms: 26 + -26 = 0 0 + 8x = 2 + -26 8x = 2 + -26 Combine like terms: 2 + -26 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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