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Simplifying 5(3x + -4) = 6(6x + 2) Reorder the terms: 5(-4 + 3x) = 6(6x + 2) (-4 * 5 + 3x * 5) = 6(6x + 2) (-20 + 15x) = 6(6x + 2) Reorder the terms: -20 + 15x = 6(2 + 6x) -20 + 15x = (2 * 6 + 6x * 6) -20 + 15x = (12 + 36x) Solving -20 + 15x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -20 + 15x + -36x = 12 + 36x + -36x Combine like terms: 15x + -36x = -21x -20 + -21x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -20 + -21x = 12 + 0 -20 + -21x = 12 Add '20' to each side of the equation. -20 + 20 + -21x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -21x = 12 + 20 -21x = 12 + 20 Combine like terms: 12 + 20 = 32 -21x = 32 Divide each side by '-21'. x = -1.523809524 Simplifying x = -1.523809524
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