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Simplifying 5x + -1(3x + 2) = 8(x + -1) + 2 Reorder the terms: 5x + -1(2 + 3x) = 8(x + -1) + 2 5x + (2 * -1 + 3x * -1) = 8(x + -1) + 2 5x + (-2 + -3x) = 8(x + -1) + 2 Reorder the terms: -2 + 5x + -3x = 8(x + -1) + 2 Combine like terms: 5x + -3x = 2x -2 + 2x = 8(x + -1) + 2 Reorder the terms: -2 + 2x = 8(-1 + x) + 2 -2 + 2x = (-1 * 8 + x * 8) + 2 -2 + 2x = (-8 + 8x) + 2 Reorder the terms: -2 + 2x = -8 + 2 + 8x Combine like terms: -8 + 2 = -6 -2 + 2x = -6 + 8x Solving -2 + 2x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 2x + -8x = -6 + 8x + -8x Combine like terms: 2x + -8x = -6x -2 + -6x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -6x = -6 + 0 -2 + -6x = -6 Add '2' to each side of the equation. -2 + 2 + -6x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -6 + 2 -6x = -6 + 2 Combine like terms: -6 + 2 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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