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Simplifying 3x + 4 + -3(-6x + -2) = 3(x + -2) Reorder the terms: 3x + 4 + -3(-2 + -6x) = 3(x + -2) 3x + 4 + (-2 * -3 + -6x * -3) = 3(x + -2) 3x + 4 + (6 + 18x) = 3(x + -2) Reorder the terms: 4 + 6 + 3x + 18x = 3(x + -2) Combine like terms: 4 + 6 = 10 10 + 3x + 18x = 3(x + -2) Combine like terms: 3x + 18x = 21x 10 + 21x = 3(x + -2) Reorder the terms: 10 + 21x = 3(-2 + x) 10 + 21x = (-2 * 3 + x * 3) 10 + 21x = (-6 + 3x) Solving 10 + 21x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 21x + -3x = -6 + 3x + -3x Combine like terms: 21x + -3x = 18x 10 + 18x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 18x = -6 + 0 10 + 18x = -6 Add '-10' to each side of the equation. 10 + -10 + 18x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 18x = -6 + -10 18x = -6 + -10 Combine like terms: -6 + -10 = -16 18x = -16 Divide each side by '18'. x = -0.8888888889 Simplifying x = -0.8888888889
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