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Simplifying 5(x + 1) + -7 = 3(-1) + 2x Reorder the terms: 5(1 + x) + -7 = 3(-1) + 2x (1 * 5 + x * 5) + -7 = 3(-1) + 2x (5 + 5x) + -7 = 3(-1) + 2x Reorder the terms: 5 + -7 + 5x = 3(-1) + 2x Combine like terms: 5 + -7 = -2 -2 + 5x = 3(-1) + 2x Multiply 3 * -1 -2 + 5x = -3 + 2x Solving -2 + 5x = -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. -2 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -2 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 3x = -3 + 0 -2 + 3x = -3 Add '2' to each side of the equation. -2 + 2 + 3x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -3 + 2 3x = -3 + 2 Combine like terms: -3 + 2 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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