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Simplifying 6x + 1 + -3(-2x + -3) = 6(x + -1) Reorder the terms: 6x + 1 + -3(-3 + -2x) = 6(x + -1) 6x + 1 + (-3 * -3 + -2x * -3) = 6(x + -1) 6x + 1 + (9 + 6x) = 6(x + -1) Reorder the terms: 1 + 9 + 6x + 6x = 6(x + -1) Combine like terms: 1 + 9 = 10 10 + 6x + 6x = 6(x + -1) Combine like terms: 6x + 6x = 12x 10 + 12x = 6(x + -1) Reorder the terms: 10 + 12x = 6(-1 + x) 10 + 12x = (-1 * 6 + x * 6) 10 + 12x = (-6 + 6x) Solving 10 + 12x = -6 + 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. 10 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 10 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 6x = -6 + 0 10 + 6x = -6 Add '-10' to each side of the equation. 10 + -10 + 6x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -6 + -10 6x = -6 + -10 Combine like terms: -6 + -10 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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