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Simplifying 42 + 4x = -27 + 7x Solving 42 + 4x = -27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 4x + -7x = -27 + 7x + -7x Combine like terms: 4x + -7x = -3x 42 + -3x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -3x = -27 + 0 42 + -3x = -27 Add '-42' to each side of the equation. 42 + -42 + -3x = -27 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = -27 + -42 -3x = -27 + -42 Combine like terms: -27 + -42 = -69 -3x = -69 Divide each side by '-3'. x = 23 Simplifying x = 23
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