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Simplifying 27x + 42 = 69x + -21 Reorder the terms: 42 + 27x = 69x + -21 Reorder the terms: 42 + 27x = -21 + 69x Solving 42 + 27x = -21 + 69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69x' to each side of the equation. 42 + 27x + -69x = -21 + 69x + -69x Combine like terms: 27x + -69x = -42x 42 + -42x = -21 + 69x + -69x Combine like terms: 69x + -69x = 0 42 + -42x = -21 + 0 42 + -42x = -21 Add '-42' to each side of the equation. 42 + -42 + -42x = -21 + -42 Combine like terms: 42 + -42 = 0 0 + -42x = -21 + -42 -42x = -21 + -42 Combine like terms: -21 + -42 = -63 -42x = -63 Divide each side by '-42'. x = 1.5 Simplifying x = 1.5
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