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Simplifying 2(x + -2) + 5(2 + -1x) = 6(x + 1) Reorder the terms: 2(-2 + x) + 5(2 + -1x) = 6(x + 1) (-2 * 2 + x * 2) + 5(2 + -1x) = 6(x + 1) (-4 + 2x) + 5(2 + -1x) = 6(x + 1) -4 + 2x + (2 * 5 + -1x * 5) = 6(x + 1) -4 + 2x + (10 + -5x) = 6(x + 1) Reorder the terms: -4 + 10 + 2x + -5x = 6(x + 1) Combine like terms: -4 + 10 = 6 6 + 2x + -5x = 6(x + 1) Combine like terms: 2x + -5x = -3x 6 + -3x = 6(x + 1) Reorder the terms: 6 + -3x = 6(1 + x) 6 + -3x = (1 * 6 + x * 6) 6 + -3x = (6 + 6x) Add '-6' to each side of the equation. 6 + -6 + -3x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 0 + -3x = 6 + -6 + 6x -3x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 -3x = 0 + 6x -3x = 6x Solving -3x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3x + -6x = 6x + -6x Combine like terms: -3x + -6x = -9x -9x = 6x + -6x Combine like terms: 6x + -6x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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