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Simplifying 4x + 2 + -9(x + -1) = 3(x + 5) Reorder the terms: 4x + 2 + -9(-1 + x) = 3(x + 5) 4x + 2 + (-1 * -9 + x * -9) = 3(x + 5) 4x + 2 + (9 + -9x) = 3(x + 5) Reorder the terms: 2 + 9 + 4x + -9x = 3(x + 5) Combine like terms: 2 + 9 = 11 11 + 4x + -9x = 3(x + 5) Combine like terms: 4x + -9x = -5x 11 + -5x = 3(x + 5) Reorder the terms: 11 + -5x = 3(5 + x) 11 + -5x = (5 * 3 + x * 3) 11 + -5x = (15 + 3x) Solving 11 + -5x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + -5x + -3x = 15 + 3x + -3x Combine like terms: -5x + -3x = -8x 11 + -8x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -8x = 15 + 0 11 + -8x = 15 Add '-11' to each side of the equation. 11 + -11 + -8x = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 15 + -11 -8x = 15 + -11 Combine like terms: 15 + -11 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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