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Simplifying 7(-3x + 5) = 3(10 + -6x) Reorder the terms: 7(5 + -3x) = 3(10 + -6x) (5 * 7 + -3x * 7) = 3(10 + -6x) (35 + -21x) = 3(10 + -6x) 35 + -21x = (10 * 3 + -6x * 3) 35 + -21x = (30 + -18x) Solving 35 + -21x = 30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 35 + -21x + 18x = 30 + -18x + 18x Combine like terms: -21x + 18x = -3x 35 + -3x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 35 + -3x = 30 + 0 35 + -3x = 30 Add '-35' to each side of the equation. 35 + -35 + -3x = 30 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 30 + -35 -3x = 30 + -35 Combine like terms: 30 + -35 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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