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Simplifying 5x + 12 = -42 + -4x Reorder the terms: 12 + 5x = -42 + -4x Solving 12 + 5x = -42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 5x + 4x = -42 + -4x + 4x Combine like terms: 5x + 4x = 9x 12 + 9x = -42 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 9x = -42 + 0 12 + 9x = -42 Add '-12' to each side of the equation. 12 + -12 + 9x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -42 + -12 9x = -42 + -12 Combine like terms: -42 + -12 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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