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Simplifying -3(5 + 7x) + 3 = 117 (5 * -3 + 7x * -3) + 3 = 117 (-15 + -21x) + 3 = 117 Reorder the terms: -15 + 3 + -21x = 117 Combine like terms: -15 + 3 = -12 -12 + -21x = 117 Solving -12 + -21x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -21x = 117 + 12 Combine like terms: -12 + 12 = 0 0 + -21x = 117 + 12 -21x = 117 + 12 Combine like terms: 117 + 12 = 129 -21x = 129 Divide each side by '-21'. x = -6.142857143 Simplifying x = -6.142857143
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