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Simplifying 3(x + -5) + -2 = 2x + -7 Reorder the terms: 3(-5 + x) + -2 = 2x + -7 (-5 * 3 + x * 3) + -2 = 2x + -7 (-15 + 3x) + -2 = 2x + -7 Reorder the terms: -15 + -2 + 3x = 2x + -7 Combine like terms: -15 + -2 = -17 -17 + 3x = 2x + -7 Reorder the terms: -17 + 3x = -7 + 2x Solving -17 + 3x = -7 + 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. -17 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = -7 + 0 -17 + 1x = -7 Add '17' to each side of the equation. -17 + 17 + 1x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -7 + 17 1x = -7 + 17 Combine like terms: -7 + 17 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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