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Simplifying 11x + 10(-1x + 4) = 2(x + -1) + 42 Reorder the terms: 11x + 10(4 + -1x) = 2(x + -1) + 42 11x + (4 * 10 + -1x * 10) = 2(x + -1) + 42 11x + (40 + -10x) = 2(x + -1) + 42 Reorder the terms: 40 + 11x + -10x = 2(x + -1) + 42 Combine like terms: 11x + -10x = 1x 40 + 1x = 2(x + -1) + 42 Reorder the terms: 40 + 1x = 2(-1 + x) + 42 40 + 1x = (-1 * 2 + x * 2) + 42 40 + 1x = (-2 + 2x) + 42 Reorder the terms: 40 + 1x = -2 + 42 + 2x Combine like terms: -2 + 42 = 40 40 + 1x = 40 + 2x Add '-40' to each side of the equation. 40 + -40 + 1x = 40 + -40 + 2x Combine like terms: 40 + -40 = 0 0 + 1x = 40 + -40 + 2x 1x = 40 + -40 + 2x Combine like terms: 40 + -40 = 0 1x = 0 + 2x 1x = 2x Solving 1x = 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. 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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