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Simplifying 3x + -5 = 6(4x + -9) Reorder the terms: -5 + 3x = 6(4x + -9) Reorder the terms: -5 + 3x = 6(-9 + 4x) -5 + 3x = (-9 * 6 + 4x * 6) -5 + 3x = (-54 + 24x) Solving -5 + 3x = -54 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -5 + 3x + -24x = -54 + 24x + -24x Combine like terms: 3x + -24x = -21x -5 + -21x = -54 + 24x + -24x Combine like terms: 24x + -24x = 0 -5 + -21x = -54 + 0 -5 + -21x = -54 Add '5' to each side of the equation. -5 + 5 + -21x = -54 + 5 Combine like terms: -5 + 5 = 0 0 + -21x = -54 + 5 -21x = -54 + 5 Combine like terms: -54 + 5 = -49 -21x = -49 Divide each side by '-21'. x = 2.333333333 Simplifying x = 2.333333333
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