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Simplifying 2(x + -9) + -3(4x + 1) = x + -21 Reorder the terms: 2(-9 + x) + -3(4x + 1) = x + -21 (-9 * 2 + x * 2) + -3(4x + 1) = x + -21 (-18 + 2x) + -3(4x + 1) = x + -21 Reorder the terms: -18 + 2x + -3(1 + 4x) = x + -21 -18 + 2x + (1 * -3 + 4x * -3) = x + -21 -18 + 2x + (-3 + -12x) = x + -21 Reorder the terms: -18 + -3 + 2x + -12x = x + -21 Combine like terms: -18 + -3 = -21 -21 + 2x + -12x = x + -21 Combine like terms: 2x + -12x = -10x -21 + -10x = x + -21 Reorder the terms: -21 + -10x = -21 + x Add '21' to each side of the equation. -21 + 21 + -10x = -21 + 21 + x Combine like terms: -21 + 21 = 0 0 + -10x = -21 + 21 + x -10x = -21 + 21 + x Combine like terms: -21 + 21 = 0 -10x = 0 + x -10x = x Solving -10x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10x + -1x = x + -1x Combine like terms: -10x + -1x = -11x -11x = x + -1x Combine like terms: x + -1x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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