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Simplifying -9(x + 4) + 42 = 11 + -10x Reorder the terms: -9(4 + x) + 42 = 11 + -10x (4 * -9 + x * -9) + 42 = 11 + -10x (-36 + -9x) + 42 = 11 + -10x Reorder the terms: -36 + 42 + -9x = 11 + -10x Combine like terms: -36 + 42 = 6 6 + -9x = 11 + -10x Solving 6 + -9x = 11 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + -9x + 10x = 11 + -10x + 10x Combine like terms: -9x + 10x = 1x 6 + 1x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 1x = 11 + 0 6 + 1x = 11 Add '-6' to each side of the equation. 6 + -6 + 1x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 11 + -6 1x = 11 + -6 Combine like terms: 11 + -6 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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