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Simplifying 9(x + -1) = 7(x + -3) + 30 Reorder the terms: 9(-1 + x) = 7(x + -3) + 30 (-1 * 9 + x * 9) = 7(x + -3) + 30 (-9 + 9x) = 7(x + -3) + 30 Reorder the terms: -9 + 9x = 7(-3 + x) + 30 -9 + 9x = (-3 * 7 + x * 7) + 30 -9 + 9x = (-21 + 7x) + 30 Reorder the terms: -9 + 9x = -21 + 30 + 7x Combine like terms: -21 + 30 = 9 -9 + 9x = 9 + 7x Solving -9 + 9x = 9 + 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. -9 + 9x + -7x = 9 + 7x + -7x Combine like terms: 9x + -7x = 2x -9 + 2x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 2x = 9 + 0 -9 + 2x = 9 Add '9' to each side of the equation. -9 + 9 + 2x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 9 + 9 2x = 9 + 9 Combine like terms: 9 + 9 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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