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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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