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Simplifying 7(x + -6) + 8 = -40 + 8x Reorder the terms: 7(-6 + x) + 8 = -40 + 8x (-6 * 7 + x * 7) + 8 = -40 + 8x (-42 + 7x) + 8 = -40 + 8x Reorder the terms: -42 + 8 + 7x = -40 + 8x Combine like terms: -42 + 8 = -34 -34 + 7x = -40 + 8x Solving -34 + 7x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -34 + 7x + -8x = -40 + 8x + -8x Combine like terms: 7x + -8x = -1x -34 + -1x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -1x = -40 + 0 -34 + -1x = -40 Add '34' to each side of the equation. -34 + 34 + -1x = -40 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = -40 + 34 -1x = -40 + 34 Combine like terms: -40 + 34 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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