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Simplifying 3x + 8(x + 1) + 3 = 11 + -6x Reorder the terms: 3x + 8(1 + x) + 3 = 11 + -6x 3x + (1 * 8 + x * 8) + 3 = 11 + -6x 3x + (8 + 8x) + 3 = 11 + -6x Reorder the terms: 8 + 3 + 3x + 8x = 11 + -6x Combine like terms: 8 + 3 = 11 11 + 3x + 8x = 11 + -6x Combine like terms: 3x + 8x = 11x 11 + 11x = 11 + -6x Add '-11' to each side of the equation. 11 + -11 + 11x = 11 + -11 + -6x Combine like terms: 11 + -11 = 0 0 + 11x = 11 + -11 + -6x 11x = 11 + -11 + -6x Combine like terms: 11 + -11 = 0 11x = 0 + -6x 11x = -6x Solving 11x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11x + 6x = -6x + 6x Combine like terms: 11x + 6x = 17x 17x = -6x + 6x Combine like terms: -6x + 6x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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