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Simplifying 3x + -1(2x + 1) = 5(3x + -4) + 8 Reorder the terms: 3x + -1(1 + 2x) = 5(3x + -4) + 8 3x + (1 * -1 + 2x * -1) = 5(3x + -4) + 8 3x + (-1 + -2x) = 5(3x + -4) + 8 Reorder the terms: -1 + 3x + -2x = 5(3x + -4) + 8 Combine like terms: 3x + -2x = 1x -1 + 1x = 5(3x + -4) + 8 Reorder the terms: -1 + 1x = 5(-4 + 3x) + 8 -1 + 1x = (-4 * 5 + 3x * 5) + 8 -1 + 1x = (-20 + 15x) + 8 Reorder the terms: -1 + 1x = -20 + 8 + 15x Combine like terms: -20 + 8 = -12 -1 + 1x = -12 + 15x Solving -1 + 1x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1 + 1x + -15x = -12 + 15x + -15x Combine like terms: 1x + -15x = -14x -1 + -14x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + -14x = -12 + 0 -1 + -14x = -12 Add '1' to each side of the equation. -1 + 1 + -14x = -12 + 1 Combine like terms: -1 + 1 = 0 0 + -14x = -12 + 1 -14x = -12 + 1 Combine like terms: -12 + 1 = -11 -14x = -11 Divide each side by '-14'. x = 0.7857142857 Simplifying x = 0.7857142857
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