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Simplifying 3x + 5 + 6(x + 1) = -2x + 3 Reorder the terms: 3x + 5 + 6(1 + x) = -2x + 3 3x + 5 + (1 * 6 + x * 6) = -2x + 3 3x + 5 + (6 + 6x) = -2x + 3 Reorder the terms: 5 + 6 + 3x + 6x = -2x + 3 Combine like terms: 5 + 6 = 11 11 + 3x + 6x = -2x + 3 Combine like terms: 3x + 6x = 9x 11 + 9x = -2x + 3 Reorder the terms: 11 + 9x = 3 + -2x Solving 11 + 9x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + 9x + 2x = 3 + -2x + 2x Combine like terms: 9x + 2x = 11x 11 + 11x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 11x = 3 + 0 11 + 11x = 3 Add '-11' to each side of the equation. 11 + -11 + 11x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = 3 + -11 11x = 3 + -11 Combine like terms: 3 + -11 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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