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Simplifying 7(8x + -6) + -3x = 117 Reorder the terms: 7(-6 + 8x) + -3x = 117 (-6 * 7 + 8x * 7) + -3x = 117 (-42 + 56x) + -3x = 117 Combine like terms: 56x + -3x = 53x -42 + 53x = 117 Solving -42 + 53x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 53x = 117 + 42 Combine like terms: -42 + 42 = 0 0 + 53x = 117 + 42 53x = 117 + 42 Combine like terms: 117 + 42 = 159 53x = 159 Divide each side by '53'. x = 3 Simplifying x = 3
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