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Simplifying 7(2x + -18) = -23(-15 + 5x) Reorder the terms: 7(-18 + 2x) = -23(-15 + 5x) (-18 * 7 + 2x * 7) = -23(-15 + 5x) (-126 + 14x) = -23(-15 + 5x) -126 + 14x = (-15 * -23 + 5x * -23) -126 + 14x = (345 + -115x) Solving -126 + 14x = 345 + -115x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '115x' to each side of the equation. -126 + 14x + 115x = 345 + -115x + 115x Combine like terms: 14x + 115x = 129x -126 + 129x = 345 + -115x + 115x Combine like terms: -115x + 115x = 0 -126 + 129x = 345 + 0 -126 + 129x = 345 Add '126' to each side of the equation. -126 + 126 + 129x = 345 + 126 Combine like terms: -126 + 126 = 0 0 + 129x = 345 + 126 129x = 345 + 126 Combine like terms: 345 + 126 = 471 129x = 471 Divide each side by '129'. x = 3.651162791 Simplifying x = 3.651162791
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