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Simplifying 5x + -2(x + 1) = x + 7 Reorder the terms: 5x + -2(1 + x) = x + 7 5x + (1 * -2 + x * -2) = x + 7 5x + (-2 + -2x) = x + 7 Reorder the terms: -2 + 5x + -2x = x + 7 Combine like terms: 5x + -2x = 3x -2 + 3x = x + 7 Reorder the terms: -2 + 3x = 7 + x Solving -2 + 3x = 7 + 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. -2 + 3x + -1x = 7 + x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 7 + x + -1x Combine like terms: x + -1x = 0 -2 + 2x = 7 + 0 -2 + 2x = 7 Add '2' to each side of the equation. -2 + 2 + 2x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 7 + 2 2x = 7 + 2 Combine like terms: 7 + 2 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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