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Simplifying 15 + -4x = 42 + -7x Solving 15 + -4x = 42 + -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. 15 + -4x + 7x = 42 + -7x + 7x Combine like terms: -4x + 7x = 3x 15 + 3x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 3x = 42 + 0 15 + 3x = 42 Add '-15' to each side of the equation. 15 + -15 + 3x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 42 + -15 3x = 42 + -15 Combine like terms: 42 + -15 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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