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Simplifying x + -2 + -7x = 8 + -1(x + 3) Reorder the terms: -2 + x + -7x = 8 + -1(x + 3) Combine like terms: x + -7x = -6x -2 + -6x = 8 + -1(x + 3) Reorder the terms: -2 + -6x = 8 + -1(3 + x) -2 + -6x = 8 + (3 * -1 + x * -1) -2 + -6x = 8 + (-3 + -1x) Combine like terms: 8 + -3 = 5 -2 + -6x = 5 + -1x Solving -2 + -6x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + -6x + x = 5 + -1x + x Combine like terms: -6x + x = -5x -2 + -5x = 5 + -1x + x Combine like terms: -1x + x = 0 -2 + -5x = 5 + 0 -2 + -5x = 5 Add '2' to each side of the equation. -2 + 2 + -5x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 5 + 2 -5x = 5 + 2 Combine like terms: 5 + 2 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4
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