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Simplifying 2x + 1 + -2(x + 1) = 5x + 7 Reorder the terms: 2x + 1 + -2(1 + x) = 5x + 7 2x + 1 + (1 * -2 + x * -2) = 5x + 7 2x + 1 + (-2 + -2x) = 5x + 7 Reorder the terms: 1 + -2 + 2x + -2x = 5x + 7 Combine like terms: 1 + -2 = -1 -1 + 2x + -2x = 5x + 7 Combine like terms: 2x + -2x = 0 -1 + 0 = 5x + 7 -1 = 5x + 7 Reorder the terms: -1 = 7 + 5x Solving -1 = 7 + 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 + -5x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -5x = 7 + 0 -1 + -5x = 7 Add '1' to each side of the equation. -1 + 1 + -5x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 7 + 1 -5x = 7 + 1 Combine like terms: 7 + 1 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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