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Simplifying 3 + -2(5x + 1) = 7(2 + -1x) + -9 Reorder the terms: 3 + -2(1 + 5x) = 7(2 + -1x) + -9 3 + (1 * -2 + 5x * -2) = 7(2 + -1x) + -9 3 + (-2 + -10x) = 7(2 + -1x) + -9 Combine like terms: 3 + -2 = 1 1 + -10x = 7(2 + -1x) + -9 1 + -10x = (2 * 7 + -1x * 7) + -9 1 + -10x = (14 + -7x) + -9 Reorder the terms: 1 + -10x = 14 + -9 + -7x Combine like terms: 14 + -9 = 5 1 + -10x = 5 + -7x Solving 1 + -10x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + -10x + 7x = 5 + -7x + 7x Combine like terms: -10x + 7x = -3x 1 + -3x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + -3x = 5 + 0 1 + -3x = 5 Add '-1' to each side of the equation. 1 + -1 + -3x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 5 + -1 -3x = 5 + -1 Combine like terms: 5 + -1 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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