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Simplifying 3x + -7 + 5 = 2(x + -2) Reorder the terms: -7 + 5 + 3x = 2(x + -2) Combine like terms: -7 + 5 = -2 -2 + 3x = 2(x + -2) Reorder the terms: -2 + 3x = 2(-2 + x) -2 + 3x = (-2 * 2 + x * 2) -2 + 3x = (-4 + 2x) Solving -2 + 3x = -4 + 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 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = -4 + 0 -2 + 1x = -4 Add '2' to each side of the equation. -2 + 2 + 1x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -4 + 2 1x = -4 + 2 Combine like terms: -4 + 2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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