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Simplifying 3 + -2(x + 3) = 2(x + -2) + 2 Reorder the terms: 3 + -2(3 + x) = 2(x + -2) + 2 3 + (3 * -2 + x * -2) = 2(x + -2) + 2 3 + (-6 + -2x) = 2(x + -2) + 2 Combine like terms: 3 + -6 = -3 -3 + -2x = 2(x + -2) + 2 Reorder the terms: -3 + -2x = 2(-2 + x) + 2 -3 + -2x = (-2 * 2 + x * 2) + 2 -3 + -2x = (-4 + 2x) + 2 Reorder the terms: -3 + -2x = -4 + 2 + 2x Combine like terms: -4 + 2 = -2 -3 + -2x = -2 + 2x Solving -3 + -2x = -2 + 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. -3 + -2x + -2x = -2 + 2x + -2x Combine like terms: -2x + -2x = -4x -3 + -4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -4x = -2 + 0 -3 + -4x = -2 Add '3' to each side of the equation. -3 + 3 + -4x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -2 + 3 -4x = -2 + 3 Combine like terms: -2 + 3 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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