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Simplifying 117 = 4(x + 45) + 3x Reorder the terms: 117 = 4(45 + x) + 3x 117 = (45 * 4 + x * 4) + 3x 117 = (180 + 4x) + 3x Combine like terms: 4x + 3x = 7x 117 = 180 + 7x Solving 117 = 180 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 117 + -7x = 180 + 7x + -7x Combine like terms: 7x + -7x = 0 117 + -7x = 180 + 0 117 + -7x = 180 Add '-117' to each side of the equation. 117 + -117 + -7x = 180 + -117 Combine like terms: 117 + -117 = 0 0 + -7x = 180 + -117 -7x = 180 + -117 Combine like terms: 180 + -117 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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