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Simplifying 5(2x + -9) = 6(x + -4) Reorder the terms: 5(-9 + 2x) = 6(x + -4) (-9 * 5 + 2x * 5) = 6(x + -4) (-45 + 10x) = 6(x + -4) Reorder the terms: -45 + 10x = 6(-4 + x) -45 + 10x = (-4 * 6 + x * 6) -45 + 10x = (-24 + 6x) Solving -45 + 10x = -24 + 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 + 10x + -6x = -24 + 6x + -6x Combine like terms: 10x + -6x = 4x -45 + 4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 4x = -24 + 0 -45 + 4x = -24 Add '45' to each side of the equation. -45 + 45 + 4x = -24 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -24 + 45 4x = -24 + 45 Combine like terms: -24 + 45 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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