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Simplifying -2x + 3(x + -2) = 3x + 3 + -6 Reorder the terms: -2x + 3(-2 + x) = 3x + 3 + -6 -2x + (-2 * 3 + x * 3) = 3x + 3 + -6 -2x + (-6 + 3x) = 3x + 3 + -6 Reorder the terms: -6 + -2x + 3x = 3x + 3 + -6 Combine like terms: -2x + 3x = 1x -6 + 1x = 3x + 3 + -6 Reorder the terms: -6 + 1x = 3 + -6 + 3x Combine like terms: 3 + -6 = -3 -6 + 1x = -3 + 3x Solving -6 + 1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 1x + -3x = -3 + 3x + -3x Combine like terms: 1x + -3x = -2x -6 + -2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = -3 + 0 -6 + -2x = -3 Add '6' to each side of the equation. -6 + 6 + -2x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -3 + 6 -2x = -3 + 6 Combine like terms: -3 + 6 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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