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Simplifying 1 + 3(8x + -2) = 7x + -1(x + -1) Reorder the terms: 1 + 3(-2 + 8x) = 7x + -1(x + -1) 1 + (-2 * 3 + 8x * 3) = 7x + -1(x + -1) 1 + (-6 + 24x) = 7x + -1(x + -1) Combine like terms: 1 + -6 = -5 -5 + 24x = 7x + -1(x + -1) Reorder the terms: -5 + 24x = 7x + -1(-1 + x) -5 + 24x = 7x + (-1 * -1 + x * -1) -5 + 24x = 7x + (1 + -1x) Reorder the terms: -5 + 24x = 1 + 7x + -1x Combine like terms: 7x + -1x = 6x -5 + 24x = 1 + 6x Solving -5 + 24x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 24x + -6x = 1 + 6x + -6x Combine like terms: 24x + -6x = 18x -5 + 18x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 18x = 1 + 0 -5 + 18x = 1 Add '5' to each side of the equation. -5 + 5 + 18x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 1 + 5 18x = 1 + 5 Combine like terms: 1 + 5 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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