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Simplifying -2x + 27 = 2(x + -1) + 5 Reorder the terms: 27 + -2x = 2(x + -1) + 5 Reorder the terms: 27 + -2x = 2(-1 + x) + 5 27 + -2x = (-1 * 2 + x * 2) + 5 27 + -2x = (-2 + 2x) + 5 Reorder the terms: 27 + -2x = -2 + 5 + 2x Combine like terms: -2 + 5 = 3 27 + -2x = 3 + 2x Solving 27 + -2x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + -2x + -2x = 3 + 2x + -2x Combine like terms: -2x + -2x = -4x 27 + -4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -4x = 3 + 0 27 + -4x = 3 Add '-27' to each side of the equation. 27 + -27 + -4x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 3 + -27 -4x = 3 + -27 Combine like terms: 3 + -27 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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