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Simplifying 6x + 10 + -1x + -4 = 42 + -4x Reorder the terms: 10 + -4 + 6x + -1x = 42 + -4x Combine like terms: 10 + -4 = 6 6 + 6x + -1x = 42 + -4x Combine like terms: 6x + -1x = 5x 6 + 5x = 42 + -4x Solving 6 + 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. 6 + 5x + 4x = 42 + -4x + 4x Combine like terms: 5x + 4x = 9x 6 + 9x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 9x = 42 + 0 6 + 9x = 42 Add '-6' to each side of the equation. 6 + -6 + 9x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 42 + -6 9x = 42 + -6 Combine like terms: 42 + -6 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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