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Simplifying 3(10 + -6x) = 2 + -2(6x + 1) (10 * 3 + -6x * 3) = 2 + -2(6x + 1) (30 + -18x) = 2 + -2(6x + 1) Reorder the terms: 30 + -18x = 2 + -2(1 + 6x) 30 + -18x = 2 + (1 * -2 + 6x * -2) 30 + -18x = 2 + (-2 + -12x) Combine like terms: 2 + -2 = 0 30 + -18x = 0 + -12x 30 + -18x = -12x Solving 30 + -18x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 30 + -18x + 12x = -12x + 12x Combine like terms: -18x + 12x = -6x 30 + -6x = -12x + 12x Combine like terms: -12x + 12x = 0 30 + -6x = 0 Add '-30' to each side of the equation. 30 + -30 + -6x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 0 + -30 -6x = 0 + -30 Combine like terms: 0 + -30 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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