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Simplifying 7(6x + -4) = 40 + 8x Reorder the terms: 7(-4 + 6x) = 40 + 8x (-4 * 7 + 6x * 7) = 40 + 8x (-28 + 42x) = 40 + 8x Solving -28 + 42x = 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. -28 + 42x + -8x = 40 + 8x + -8x Combine like terms: 42x + -8x = 34x -28 + 34x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 34x = 40 + 0 -28 + 34x = 40 Add '28' to each side of the equation. -28 + 28 + 34x = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 34x = 40 + 28 34x = 40 + 28 Combine like terms: 40 + 28 = 68 34x = 68 Divide each side by '34'. x = 2 Simplifying x = 2
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