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Simplifying x + 11 = 10x + -2(4x + 22) Reorder the terms: 11 + x = 10x + -2(4x + 22) Reorder the terms: 11 + x = 10x + -2(22 + 4x) 11 + x = 10x + (22 * -2 + 4x * -2) 11 + x = 10x + (-44 + -8x) Reorder the terms: 11 + x = -44 + 10x + -8x Combine like terms: 10x + -8x = 2x 11 + x = -44 + 2x Solving 11 + x = -44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + x + -2x = -44 + 2x + -2x Combine like terms: x + -2x = -1x 11 + -1x = -44 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -1x = -44 + 0 11 + -1x = -44 Add '-11' to each side of the equation. 11 + -11 + -1x = -44 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -44 + -11 -1x = -44 + -11 Combine like terms: -44 + -11 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55
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