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Simplifying 27x + 12 = 42x + 6 Reorder the terms: 12 + 27x = 42x + 6 Reorder the terms: 12 + 27x = 6 + 42x Solving 12 + 27x = 6 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 12 + 27x + -42x = 6 + 42x + -42x Combine like terms: 27x + -42x = -15x 12 + -15x = 6 + 42x + -42x Combine like terms: 42x + -42x = 0 12 + -15x = 6 + 0 12 + -15x = 6 Add '-12' to each side of the equation. 12 + -12 + -15x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 6 + -12 -15x = 6 + -12 Combine like terms: 6 + -12 = -6 -15x = -6 Divide each side by '-15'. x = 0.4 Simplifying x = 0.4
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