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Simplifying -39 + -4x = -8x + 7(x + -6) Reorder the terms: -39 + -4x = -8x + 7(-6 + x) -39 + -4x = -8x + (-6 * 7 + x * 7) -39 + -4x = -8x + (-42 + 7x) Reorder the terms: -39 + -4x = -42 + -8x + 7x Combine like terms: -8x + 7x = -1x -39 + -4x = -42 + -1x Solving -39 + -4x = -42 + -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. -39 + -4x + x = -42 + -1x + x Combine like terms: -4x + x = -3x -39 + -3x = -42 + -1x + x Combine like terms: -1x + x = 0 -39 + -3x = -42 + 0 -39 + -3x = -42 Add '39' to each side of the equation. -39 + 39 + -3x = -42 + 39 Combine like terms: -39 + 39 = 0 0 + -3x = -42 + 39 -3x = -42 + 39 Combine like terms: -42 + 39 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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