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Simplifying 2(x + 4 + -6) = x + 2(x + 2) + -33 Reorder the terms: 2(4 + -6 + x) = x + 2(x + 2) + -33 Combine like terms: 4 + -6 = -2 2(-2 + x) = x + 2(x + 2) + -33 (-2 * 2 + x * 2) = x + 2(x + 2) + -33 (-4 + 2x) = x + 2(x + 2) + -33 Reorder the terms: -4 + 2x = x + 2(2 + x) + -33 -4 + 2x = x + (2 * 2 + x * 2) + -33 -4 + 2x = x + (4 + 2x) + -33 Reorder the terms: -4 + 2x = 4 + -33 + x + 2x Combine like terms: 4 + -33 = -29 -4 + 2x = -29 + x + 2x Combine like terms: x + 2x = 3x -4 + 2x = -29 + 3x Solving -4 + 2x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 2x + -3x = -29 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = -29 + 0 -4 + -1x = -29 Add '4' to each side of the equation. -4 + 4 + -1x = -29 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -29 + 4 -1x = -29 + 4 Combine like terms: -29 + 4 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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