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Simplifying 2(x + -1) + -3(2x + 1) = x + 6 Reorder the terms: 2(-1 + x) + -3(2x + 1) = x + 6 (-1 * 2 + x * 2) + -3(2x + 1) = x + 6 (-2 + 2x) + -3(2x + 1) = x + 6 Reorder the terms: -2 + 2x + -3(1 + 2x) = x + 6 -2 + 2x + (1 * -3 + 2x * -3) = x + 6 -2 + 2x + (-3 + -6x) = x + 6 Reorder the terms: -2 + -3 + 2x + -6x = x + 6 Combine like terms: -2 + -3 = -5 -5 + 2x + -6x = x + 6 Combine like terms: 2x + -6x = -4x -5 + -4x = x + 6 Reorder the terms: -5 + -4x = 6 + x Solving -5 + -4x = 6 + 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. -5 + -4x + -1x = 6 + x + -1x Combine like terms: -4x + -1x = -5x -5 + -5x = 6 + x + -1x Combine like terms: x + -1x = 0 -5 + -5x = 6 + 0 -5 + -5x = 6 Add '5' to each side of the equation. -5 + 5 + -5x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 6 + 5 -5x = 6 + 5 Combine like terms: 6 + 5 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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