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Simplifying 8(3x + -1) = 40 + 8x Reorder the terms: 8(-1 + 3x) = 40 + 8x (-1 * 8 + 3x * 8) = 40 + 8x (-8 + 24x) = 40 + 8x Solving -8 + 24x = 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. -8 + 24x + -8x = 40 + 8x + -8x Combine like terms: 24x + -8x = 16x -8 + 16x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 16x = 40 + 0 -8 + 16x = 40 Add '8' to each side of the equation. -8 + 8 + 16x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 40 + 8 16x = 40 + 8 Combine like terms: 40 + 8 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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