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Simplifying 9(5 + -2x) = -7(4x + -2) (5 * 9 + -2x * 9) = -7(4x + -2) (45 + -18x) = -7(4x + -2) Reorder the terms: 45 + -18x = -7(-2 + 4x) 45 + -18x = (-2 * -7 + 4x * -7) 45 + -18x = (14 + -28x) Solving 45 + -18x = 14 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 45 + -18x + 28x = 14 + -28x + 28x Combine like terms: -18x + 28x = 10x 45 + 10x = 14 + -28x + 28x Combine like terms: -28x + 28x = 0 45 + 10x = 14 + 0 45 + 10x = 14 Add '-45' to each side of the equation. 45 + -45 + 10x = 14 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 14 + -45 10x = 14 + -45 Combine like terms: 14 + -45 = -31 10x = -31 Divide each side by '10'. x = -3.1 Simplifying x = -3.1
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