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Simplifying 5x + -8x = -1(1 + 5x) + -1(x + -7) Combine like terms: 5x + -8x = -3x -3x = -1(1 + 5x) + -1(x + -7) -3x = (1 * -1 + 5x * -1) + -1(x + -7) -3x = (-1 + -5x) + -1(x + -7) Reorder the terms: -3x = -1 + -5x + -1(-7 + x) -3x = -1 + -5x + (-7 * -1 + x * -1) -3x = -1 + -5x + (7 + -1x) Reorder the terms: -3x = -1 + 7 + -5x + -1x Combine like terms: -1 + 7 = 6 -3x = 6 + -5x + -1x Combine like terms: -5x + -1x = -6x -3x = 6 + -6x Solving -3x = 6 + -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. -3x + 6x = 6 + -6x + 6x Combine like terms: -3x + 6x = 3x 3x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 3x = 6 + 0 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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