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Simplifying 10 + x = 3x + -6(5 + -3x) 10 + x = 3x + (5 * -6 + -3x * -6) 10 + x = 3x + (-30 + 18x) Reorder the terms: 10 + x = -30 + 3x + 18x Combine like terms: 3x + 18x = 21x 10 + x = -30 + 21x Solving 10 + x = -30 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 10 + x + -21x = -30 + 21x + -21x Combine like terms: x + -21x = -20x 10 + -20x = -30 + 21x + -21x Combine like terms: 21x + -21x = 0 10 + -20x = -30 + 0 10 + -20x = -30 Add '-10' to each side of the equation. 10 + -10 + -20x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = -30 + -10 -20x = -30 + -10 Combine like terms: -30 + -10 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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