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Simplifying 3(-7x + 6) = 10 + -1(x + -2) Reorder the terms: 3(6 + -7x) = 10 + -1(x + -2) (6 * 3 + -7x * 3) = 10 + -1(x + -2) (18 + -21x) = 10 + -1(x + -2) Reorder the terms: 18 + -21x = 10 + -1(-2 + x) 18 + -21x = 10 + (-2 * -1 + x * -1) 18 + -21x = 10 + (2 + -1x) Combine like terms: 10 + 2 = 12 18 + -21x = 12 + -1x Solving 18 + -21x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + -21x + x = 12 + -1x + x Combine like terms: -21x + x = -20x 18 + -20x = 12 + -1x + x Combine like terms: -1x + x = 0 18 + -20x = 12 + 0 18 + -20x = 12 Add '-18' to each side of the equation. 18 + -18 + -20x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -20x = 12 + -18 -20x = 12 + -18 Combine like terms: 12 + -18 = -6 -20x = -6 Divide each side by '-20'. x = 0.3 Simplifying x = 0.3
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