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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 Add '-9' to each side of the equation. 9 + -9 + 9x = 9 + -9 + 7x Combine like terms: 9 + -9 = 0 0 + 9x = 9 + -9 + 7x 9x = 9 + -9 + 7x Combine like terms: 9 + -9 = 0 9x = 0 + 7x 9x = 7x Solving 9x = 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. 9x + -7x = 7x + -7x Combine like terms: 9x + -7x = 2x 2x = 7x + -7x Combine like terms: 7x + -7x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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