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Simplifying -9(x + 4) + 43 = 11 + -10x Reorder the terms: -9(4 + x) + 43 = 11 + -10x (4 * -9 + x * -9) + 43 = 11 + -10x (-36 + -9x) + 43 = 11 + -10x Reorder the terms: -36 + 43 + -9x = 11 + -10x Combine like terms: -36 + 43 = 7 7 + -9x = 11 + -10x Solving 7 + -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. 7 + -9x + 10x = 11 + -10x + 10x Combine like terms: -9x + 10x = 1x 7 + 1x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 1x = 11 + 0 7 + 1x = 11 Add '-7' to each side of the equation. 7 + -7 + 1x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 11 + -7 1x = 11 + -7 Combine like terms: 11 + -7 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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