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Simplifying 3x + -2(x + 3) + -6 = 2x Reorder the terms: 3x + -2(3 + x) + -6 = 2x 3x + (3 * -2 + x * -2) + -6 = 2x 3x + (-6 + -2x) + -6 = 2x Reorder the terms: -6 + -6 + 3x + -2x = 2x Combine like terms: -6 + -6 = -12 -12 + 3x + -2x = 2x Combine like terms: 3x + -2x = 1x -12 + 1x = 2x Solving -12 + 1x = 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. -12 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -12 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -1x = 0 Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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