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Simplifying -31 + -1x = 8(2 + -6x) -31 + -1x = (2 * 8 + -6x * 8) -31 + -1x = (16 + -48x) Solving -31 + -1x = 16 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -31 + -1x + 48x = 16 + -48x + 48x Combine like terms: -1x + 48x = 47x -31 + 47x = 16 + -48x + 48x Combine like terms: -48x + 48x = 0 -31 + 47x = 16 + 0 -31 + 47x = 16 Add '31' to each side of the equation. -31 + 31 + 47x = 16 + 31 Combine like terms: -31 + 31 = 0 0 + 47x = 16 + 31 47x = 16 + 31 Combine like terms: 16 + 31 = 47 47x = 47 Divide each side by '47'. x = 1 Simplifying x = 1
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