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Simplifying -8(4x + -7) = 20 + -24x Reorder the terms: -8(-7 + 4x) = 20 + -24x (-7 * -8 + 4x * -8) = 20 + -24x (56 + -32x) = 20 + -24x Solving 56 + -32x = 20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 56 + -32x + 24x = 20 + -24x + 24x Combine like terms: -32x + 24x = -8x 56 + -8x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 56 + -8x = 20 + 0 56 + -8x = 20 Add '-56' to each side of the equation. 56 + -56 + -8x = 20 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = 20 + -56 -8x = 20 + -56 Combine like terms: 20 + -56 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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