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Simplifying 3(x + -2) + -1 = 2 + -5(x + 5) Reorder the terms: 3(-2 + x) + -1 = 2 + -5(x + 5) (-2 * 3 + x * 3) + -1 = 2 + -5(x + 5) (-6 + 3x) + -1 = 2 + -5(x + 5) Reorder the terms: -6 + -1 + 3x = 2 + -5(x + 5) Combine like terms: -6 + -1 = -7 -7 + 3x = 2 + -5(x + 5) Reorder the terms: -7 + 3x = 2 + -5(5 + x) -7 + 3x = 2 + (5 * -5 + x * -5) -7 + 3x = 2 + (-25 + -5x) Combine like terms: 2 + -25 = -23 -7 + 3x = -23 + -5x Solving -7 + 3x = -23 + -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. -7 + 3x + 5x = -23 + -5x + 5x Combine like terms: 3x + 5x = 8x -7 + 8x = -23 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 8x = -23 + 0 -7 + 8x = -23 Add '7' to each side of the equation. -7 + 7 + 8x = -23 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -23 + 7 8x = -23 + 7 Combine like terms: -23 + 7 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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