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Simplifying 3(x + -8) = 7x + -40 Reorder the terms: 3(-8 + x) = 7x + -40 (-8 * 3 + x * 3) = 7x + -40 (-24 + 3x) = 7x + -40 Reorder the terms: -24 + 3x = -40 + 7x Solving -24 + 3x = -40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 3x + -7x = -40 + 7x + -7x Combine like terms: 3x + -7x = -4x -24 + -4x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -4x = -40 + 0 -24 + -4x = -40 Add '24' to each side of the equation. -24 + 24 + -4x = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -40 + 24 -4x = -40 + 24 Combine like terms: -40 + 24 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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