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Simplifying 5x + -3 + 6(x + 1) = -2x + 2 Reorder the terms: 5x + -3 + 6(1 + x) = -2x + 2 5x + -3 + (1 * 6 + x * 6) = -2x + 2 5x + -3 + (6 + 6x) = -2x + 2 Reorder the terms: -3 + 6 + 5x + 6x = -2x + 2 Combine like terms: -3 + 6 = 3 3 + 5x + 6x = -2x + 2 Combine like terms: 5x + 6x = 11x 3 + 11x = -2x + 2 Reorder the terms: 3 + 11x = 2 + -2x Solving 3 + 11x = 2 + -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. 3 + 11x + 2x = 2 + -2x + 2x Combine like terms: 11x + 2x = 13x 3 + 13x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 13x = 2 + 0 3 + 13x = 2 Add '-3' to each side of the equation. 3 + -3 + 13x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 2 + -3 13x = 2 + -3 Combine like terms: 2 + -3 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692
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