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Simplifying -5(2x + -9) + 4x = 6(x + 6) Reorder the terms: -5(-9 + 2x) + 4x = 6(x + 6) (-9 * -5 + 2x * -5) + 4x = 6(x + 6) (45 + -10x) + 4x = 6(x + 6) Combine like terms: -10x + 4x = -6x 45 + -6x = 6(x + 6) Reorder the terms: 45 + -6x = 6(6 + x) 45 + -6x = (6 * 6 + x * 6) 45 + -6x = (36 + 6x) Solving 45 + -6x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + -6x + -6x = 36 + 6x + -6x Combine like terms: -6x + -6x = -12x 45 + -12x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -12x = 36 + 0 45 + -12x = 36 Add '-45' to each side of the equation. 45 + -45 + -12x = 36 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = 36 + -45 -12x = 36 + -45 Combine like terms: 36 + -45 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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