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Simplifying 4x + 3 = 5 + -1(5x + -9) Reorder the terms: 3 + 4x = 5 + -1(5x + -9) Reorder the terms: 3 + 4x = 5 + -1(-9 + 5x) 3 + 4x = 5 + (-9 * -1 + 5x * -1) 3 + 4x = 5 + (9 + -5x) Combine like terms: 5 + 9 = 14 3 + 4x = 14 + -5x Solving 3 + 4x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 4x + 5x = 14 + -5x + 5x Combine like terms: 4x + 5x = 9x 3 + 9x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 9x = 14 + 0 3 + 9x = 14 Add '-3' to each side of the equation. 3 + -3 + 9x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 14 + -3 9x = 14 + -3 Combine like terms: 14 + -3 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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