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Simplifying 5x + 8(x + 1) + 3 = 11 + -5x Reorder the terms: 5x + 8(1 + x) + 3 = 11 + -5x 5x + (1 * 8 + x * 8) + 3 = 11 + -5x 5x + (8 + 8x) + 3 = 11 + -5x Reorder the terms: 8 + 3 + 5x + 8x = 11 + -5x Combine like terms: 8 + 3 = 11 11 + 5x + 8x = 11 + -5x Combine like terms: 5x + 8x = 13x 11 + 13x = 11 + -5x Add '-11' to each side of the equation. 11 + -11 + 13x = 11 + -11 + -5x Combine like terms: 11 + -11 = 0 0 + 13x = 11 + -11 + -5x 13x = 11 + -11 + -5x Combine like terms: 11 + -11 = 0 13x = 0 + -5x 13x = -5x Solving 13x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13x + 5x = -5x + 5x Combine like terms: 13x + 5x = 18x 18x = -5x + 5x Combine like terms: -5x + 5x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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