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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 = -81 -3x = -81 Divide each side by '-3'. x = 27 Simplifying x = 27
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