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Simplifying 2x + 4 = 9 + -1(7x + -3) Reorder the terms: 4 + 2x = 9 + -1(7x + -3) Reorder the terms: 4 + 2x = 9 + -1(-3 + 7x) 4 + 2x = 9 + (-3 * -1 + 7x * -1) 4 + 2x = 9 + (3 + -7x) Combine like terms: 9 + 3 = 12 4 + 2x = 12 + -7x Solving 4 + 2x = 12 + -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. 4 + 2x + 7x = 12 + -7x + 7x Combine like terms: 2x + 7x = 9x 4 + 9x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 9x = 12 + 0 4 + 9x = 12 Add '-4' to each side of the equation. 4 + -4 + 9x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 12 + -4 9x = 12 + -4 Combine like terms: 12 + -4 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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