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Simplifying 6(4x + -5) = 40 + 5(6x + -3) Reorder the terms: 6(-5 + 4x) = 40 + 5(6x + -3) (-5 * 6 + 4x * 6) = 40 + 5(6x + -3) (-30 + 24x) = 40 + 5(6x + -3) Reorder the terms: -30 + 24x = 40 + 5(-3 + 6x) -30 + 24x = 40 + (-3 * 5 + 6x * 5) -30 + 24x = 40 + (-15 + 30x) Combine like terms: 40 + -15 = 25 -30 + 24x = 25 + 30x Solving -30 + 24x = 25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -30 + 24x + -30x = 25 + 30x + -30x Combine like terms: 24x + -30x = -6x -30 + -6x = 25 + 30x + -30x Combine like terms: 30x + -30x = 0 -30 + -6x = 25 + 0 -30 + -6x = 25 Add '30' to each side of the equation. -30 + 30 + -6x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 25 + 30 -6x = 25 + 30 Combine like terms: 25 + 30 = 55 -6x = 55 Divide each side by '-6'. x = -9.166666667 Simplifying x = -9.166666667
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