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Simplifying 5(x + 6) = -4(2x + -9) + 4x Reorder the terms: 5(6 + x) = -4(2x + -9) + 4x (6 * 5 + x * 5) = -4(2x + -9) + 4x (30 + 5x) = -4(2x + -9) + 4x Reorder the terms: 30 + 5x = -4(-9 + 2x) + 4x 30 + 5x = (-9 * -4 + 2x * -4) + 4x 30 + 5x = (36 + -8x) + 4x Combine like terms: -8x + 4x = -4x 30 + 5x = 36 + -4x Solving 30 + 5x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 30 + 5x + 4x = 36 + -4x + 4x Combine like terms: 5x + 4x = 9x 30 + 9x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 30 + 9x = 36 + 0 30 + 9x = 36 Add '-30' to each side of the equation. 30 + -30 + 9x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 36 + -30 9x = 36 + -30 Combine like terms: 36 + -30 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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