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Simplifying 7x + 74 = 9(3 + x) + -15 Reorder the terms: 74 + 7x = 9(3 + x) + -15 74 + 7x = (3 * 9 + x * 9) + -15 74 + 7x = (27 + 9x) + -15 Reorder the terms: 74 + 7x = 27 + -15 + 9x Combine like terms: 27 + -15 = 12 74 + 7x = 12 + 9x Solving 74 + 7x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 74 + 7x + -9x = 12 + 9x + -9x Combine like terms: 7x + -9x = -2x 74 + -2x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 74 + -2x = 12 + 0 74 + -2x = 12 Add '-74' to each side of the equation. 74 + -74 + -2x = 12 + -74 Combine like terms: 74 + -74 = 0 0 + -2x = 12 + -74 -2x = 12 + -74 Combine like terms: 12 + -74 = -62 -2x = -62 Divide each side by '-2'. x = 31 Simplifying x = 31
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