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Simplifying 2 + 3(x + -1) = 5x + 7 Reorder the terms: 2 + 3(-1 + x) = 5x + 7 2 + (-1 * 3 + x * 3) = 5x + 7 2 + (-3 + 3x) = 5x + 7 Combine like terms: 2 + -3 = -1 -1 + 3x = 5x + 7 Reorder the terms: -1 + 3x = 7 + 5x Solving -1 + 3x = 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 + 3x + -5x = 7 + 5x + -5x Combine like terms: 3x + -5x = -2x -1 + -2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2x = 7 + 0 -1 + -2x = 7 Add '1' to each side of the equation. -1 + 1 + -2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 7 + 1 -2x = 7 + 1 Combine like terms: 7 + 1 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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