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Simplifying 3(1 + -8x) + -1x = 5 + -7(x + 2) (1 * 3 + -8x * 3) + -1x = 5 + -7(x + 2) (3 + -24x) + -1x = 5 + -7(x + 2) Combine like terms: -24x + -1x = -25x 3 + -25x = 5 + -7(x + 2) Reorder the terms: 3 + -25x = 5 + -7(2 + x) 3 + -25x = 5 + (2 * -7 + x * -7) 3 + -25x = 5 + (-14 + -7x) Combine like terms: 5 + -14 = -9 3 + -25x = -9 + -7x Solving 3 + -25x = -9 + -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. 3 + -25x + 7x = -9 + -7x + 7x Combine like terms: -25x + 7x = -18x 3 + -18x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + -18x = -9 + 0 3 + -18x = -9 Add '-3' to each side of the equation. 3 + -3 + -18x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = -9 + -3 -18x = -9 + -3 Combine like terms: -9 + -3 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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