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Simplifying 42 + -3x = 9(-10 + -4x) 42 + -3x = (-10 * 9 + -4x * 9) 42 + -3x = (-90 + -36x) Solving 42 + -3x = -90 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 42 + -3x + 36x = -90 + -36x + 36x Combine like terms: -3x + 36x = 33x 42 + 33x = -90 + -36x + 36x Combine like terms: -36x + 36x = 0 42 + 33x = -90 + 0 42 + 33x = -90 Add '-42' to each side of the equation. 42 + -42 + 33x = -90 + -42 Combine like terms: 42 + -42 = 0 0 + 33x = -90 + -42 33x = -90 + -42 Combine like terms: -90 + -42 = -132 33x = -132 Divide each side by '33'. x = -4 Simplifying x = -4
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