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Simplifying 7(4x + -8) = 40 + 4x Reorder the terms: 7(-8 + 4x) = 40 + 4x (-8 * 7 + 4x * 7) = 40 + 4x (-56 + 28x) = 40 + 4x Solving -56 + 28x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -56 + 28x + -4x = 40 + 4x + -4x Combine like terms: 28x + -4x = 24x -56 + 24x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 24x = 40 + 0 -56 + 24x = 40 Add '56' to each side of the equation. -56 + 56 + 24x = 40 + 56 Combine like terms: -56 + 56 = 0 0 + 24x = 40 + 56 24x = 40 + 56 Combine like terms: 40 + 56 = 96 24x = 96 Divide each side by '24'. x = 4 Simplifying x = 4
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