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Simplifying 7 + 9x = 3(6x + 25) + -1x Reorder the terms: 7 + 9x = 3(25 + 6x) + -1x 7 + 9x = (25 * 3 + 6x * 3) + -1x 7 + 9x = (75 + 18x) + -1x Combine like terms: 18x + -1x = 17x 7 + 9x = 75 + 17x Solving 7 + 9x = 75 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 7 + 9x + -17x = 75 + 17x + -17x Combine like terms: 9x + -17x = -8x 7 + -8x = 75 + 17x + -17x Combine like terms: 17x + -17x = 0 7 + -8x = 75 + 0 7 + -8x = 75 Add '-7' to each side of the equation. 7 + -7 + -8x = 75 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 75 + -7 -8x = 75 + -7 Combine like terms: 75 + -7 = 68 -8x = 68 Divide each side by '-8'. x = -8.5 Simplifying x = -8.5
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