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Simplifying 17x + -3x + -4(x + 6) = 78 Reorder the terms: 17x + -3x + -4(6 + x) = 78 17x + -3x + (6 * -4 + x * -4) = 78 17x + -3x + (-24 + -4x) = 78 Reorder the terms: -24 + 17x + -3x + -4x = 78 Combine like terms: 17x + -3x = 14x -24 + 14x + -4x = 78 Combine like terms: 14x + -4x = 10x -24 + 10x = 78 Solving -24 + 10x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 10x = 78 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 78 + 24 10x = 78 + 24 Combine like terms: 78 + 24 = 102 10x = 102 Divide each side by '10'. x = 10.2 Simplifying x = 10.2
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