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Simplifying 7x + 9(1 + -2x) = 4 + -7(x + 1) 7x + (1 * 9 + -2x * 9) = 4 + -7(x + 1) 7x + (9 + -18x) = 4 + -7(x + 1) Reorder the terms: 9 + 7x + -18x = 4 + -7(x + 1) Combine like terms: 7x + -18x = -11x 9 + -11x = 4 + -7(x + 1) Reorder the terms: 9 + -11x = 4 + -7(1 + x) 9 + -11x = 4 + (1 * -7 + x * -7) 9 + -11x = 4 + (-7 + -7x) Combine like terms: 4 + -7 = -3 9 + -11x = -3 + -7x Solving 9 + -11x = -3 + -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 + -11x + 7x = -3 + -7x + 7x Combine like terms: -11x + 7x = -4x 9 + -4x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + -4x = -3 + 0 9 + -4x = -3 Add '-9' to each side of the equation. 9 + -9 + -4x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -3 + -9 -4x = -3 + -9 Combine like terms: -3 + -9 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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