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Simplifying 10(x + -8) = 6(x + 4) Reorder the terms: 10(-8 + x) = 6(x + 4) (-8 * 10 + x * 10) = 6(x + 4) (-80 + 10x) = 6(x + 4) Reorder the terms: -80 + 10x = 6(4 + x) -80 + 10x = (4 * 6 + x * 6) -80 + 10x = (24 + 6x) Solving -80 + 10x = 24 + 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. -80 + 10x + -6x = 24 + 6x + -6x Combine like terms: 10x + -6x = 4x -80 + 4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -80 + 4x = 24 + 0 -80 + 4x = 24 Add '80' to each side of the equation. -80 + 80 + 4x = 24 + 80 Combine like terms: -80 + 80 = 0 0 + 4x = 24 + 80 4x = 24 + 80 Combine like terms: 24 + 80 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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