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Simplifying 3x + 2 + -6(x + 1) = 6x + 3 Reorder the terms: 3x + 2 + -6(1 + x) = 6x + 3 3x + 2 + (1 * -6 + x * -6) = 6x + 3 3x + 2 + (-6 + -6x) = 6x + 3 Reorder the terms: 2 + -6 + 3x + -6x = 6x + 3 Combine like terms: 2 + -6 = -4 -4 + 3x + -6x = 6x + 3 Combine like terms: 3x + -6x = -3x -4 + -3x = 6x + 3 Reorder the terms: -4 + -3x = 3 + 6x Solving -4 + -3x = 3 + 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. -4 + -3x + -6x = 3 + 6x + -6x Combine like terms: -3x + -6x = -9x -4 + -9x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -9x = 3 + 0 -4 + -9x = 3 Add '4' to each side of the equation. -4 + 4 + -9x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 3 + 4 -9x = 3 + 4 Combine like terms: 3 + 4 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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