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Simplifying 2(-14x + 21) = -10(x + -3) Reorder the terms: 2(21 + -14x) = -10(x + -3) (21 * 2 + -14x * 2) = -10(x + -3) (42 + -28x) = -10(x + -3) Reorder the terms: 42 + -28x = -10(-3 + x) 42 + -28x = (-3 * -10 + x * -10) 42 + -28x = (30 + -10x) Solving 42 + -28x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 42 + -28x + 10x = 30 + -10x + 10x Combine like terms: -28x + 10x = -18x 42 + -18x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 42 + -18x = 30 + 0 42 + -18x = 30 Add '-42' to each side of the equation. 42 + -42 + -18x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -18x = 30 + -42 -18x = 30 + -42 Combine like terms: 30 + -42 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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