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Simplifying -5(8x + 3) = 4x + 117 Reorder the terms: -5(3 + 8x) = 4x + 117 (3 * -5 + 8x * -5) = 4x + 117 (-15 + -40x) = 4x + 117 Reorder the terms: -15 + -40x = 117 + 4x Solving -15 + -40x = 117 + 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. -15 + -40x + -4x = 117 + 4x + -4x Combine like terms: -40x + -4x = -44x -15 + -44x = 117 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -44x = 117 + 0 -15 + -44x = 117 Add '15' to each side of the equation. -15 + 15 + -44x = 117 + 15 Combine like terms: -15 + 15 = 0 0 + -44x = 117 + 15 -44x = 117 + 15 Combine like terms: 117 + 15 = 132 -44x = 132 Divide each side by '-44'. x = -3 Simplifying x = -3
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