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Simplifying (x + 1) + -5(x + 2) = 3x + 7 Reorder the terms: (1 + x) + -5(x + 2) = 3x + 7 Remove parenthesis around (1 + x) 1 + x + -5(x + 2) = 3x + 7 Reorder the terms: 1 + x + -5(2 + x) = 3x + 7 1 + x + (2 * -5 + x * -5) = 3x + 7 1 + x + (-10 + -5x) = 3x + 7 Reorder the terms: 1 + -10 + x + -5x = 3x + 7 Combine like terms: 1 + -10 = -9 -9 + x + -5x = 3x + 7 Combine like terms: x + -5x = -4x -9 + -4x = 3x + 7 Reorder the terms: -9 + -4x = 7 + 3x Solving -9 + -4x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -4x + -3x = 7 + 3x + -3x Combine like terms: -4x + -3x = -7x -9 + -7x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -7x = 7 + 0 -9 + -7x = 7 Add '9' to each side of the equation. -9 + 9 + -7x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 7 + 9 -7x = 7 + 9 Combine like terms: 7 + 9 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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