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