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Simplifying 3(x + -2) + 2 = 5x + -7 + -5x Reorder the terms: 3(-2 + x) + 2 = 5x + -7 + -5x (-2 * 3 + x * 3) + 2 = 5x + -7 + -5x (-6 + 3x) + 2 = 5x + -7 + -5x Reorder the terms: -6 + 2 + 3x = 5x + -7 + -5x Combine like terms: -6 + 2 = -4 -4 + 3x = 5x + -7 + -5x Reorder the terms: -4 + 3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = -7 + 0 -4 + 3x = -7 Solving -4 + 3x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -7 + 4 3x = -7 + 4 Combine like terms: -7 + 4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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