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Simplifying 4(5x + -8) = 6x + -116 Reorder the terms: 4(-8 + 5x) = 6x + -116 (-8 * 4 + 5x * 4) = 6x + -116 (-32 + 20x) = 6x + -116 Reorder the terms: -32 + 20x = -116 + 6x Solving -32 + 20x = -116 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 20x + -6x = -116 + 6x + -6x Combine like terms: 20x + -6x = 14x -32 + 14x = -116 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 14x = -116 + 0 -32 + 14x = -116 Add '32' to each side of the equation. -32 + 32 + 14x = -116 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = -116 + 32 14x = -116 + 32 Combine like terms: -116 + 32 = -84 14x = -84 Divide each side by '14'. x = -6 Simplifying x = -6
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