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Simplifying 4(2x + -9) = 5(6 + -1x) Reorder the terms: 4(-9 + 2x) = 5(6 + -1x) (-9 * 4 + 2x * 4) = 5(6 + -1x) (-36 + 8x) = 5(6 + -1x) -36 + 8x = (6 * 5 + -1x * 5) -36 + 8x = (30 + -5x) Solving -36 + 8x = 30 + -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 + 8x + 5x = 30 + -5x + 5x Combine like terms: 8x + 5x = 13x -36 + 13x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 13x = 30 + 0 -36 + 13x = 30 Add '36' to each side of the equation. -36 + 36 + 13x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 30 + 36 13x = 30 + 36 Combine like terms: 30 + 36 = 66 13x = 66 Divide each side by '13'. x = 5.076923077 Simplifying x = 5.076923077
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