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Simplifying -1x + 12 + 2(x + 2) = 6x + 11 Reorder the terms: -1x + 12 + 2(2 + x) = 6x + 11 -1x + 12 + (2 * 2 + x * 2) = 6x + 11 -1x + 12 + (4 + 2x) = 6x + 11 Reorder the terms: 12 + 4 + -1x + 2x = 6x + 11 Combine like terms: 12 + 4 = 16 16 + -1x + 2x = 6x + 11 Combine like terms: -1x + 2x = 1x 16 + 1x = 6x + 11 Reorder the terms: 16 + 1x = 11 + 6x Solving 16 + 1x = 11 + 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. 16 + 1x + -6x = 11 + 6x + -6x Combine like terms: 1x + -6x = -5x 16 + -5x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -5x = 11 + 0 16 + -5x = 11 Add '-16' to each side of the equation. 16 + -16 + -5x = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 11 + -16 -5x = 11 + -16 Combine like terms: 11 + -16 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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