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Simplifying 4(2x + -9) + 5x = 5x + -6 Reorder the terms: 4(-9 + 2x) + 5x = 5x + -6 (-9 * 4 + 2x * 4) + 5x = 5x + -6 (-36 + 8x) + 5x = 5x + -6 Combine like terms: 8x + 5x = 13x -36 + 13x = 5x + -6 Reorder the terms: -36 + 13x = -6 + 5x Solving -36 + 13x = -6 + 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. -36 + 13x + -5x = -6 + 5x + -5x Combine like terms: 13x + -5x = 8x -36 + 8x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 8x = -6 + 0 -36 + 8x = -6 Add '36' to each side of the equation. -36 + 36 + 8x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = -6 + 36 8x = -6 + 36 Combine like terms: -6 + 36 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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