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Simplifying 3x + 2(x + -6) = x + 6 Reorder the terms: 3x + 2(-6 + x) = x + 6 3x + (-6 * 2 + x * 2) = x + 6 3x + (-12 + 2x) = x + 6 Reorder the terms: -12 + 3x + 2x = x + 6 Combine like terms: 3x + 2x = 5x -12 + 5x = x + 6 Reorder the terms: -12 + 5x = 6 + x Solving -12 + 5x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 5x + -1x = 6 + x + -1x Combine like terms: 5x + -1x = 4x -12 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 -12 + 4x = 6 + 0 -12 + 4x = 6 Add '12' to each side of the equation. -12 + 12 + 4x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 6 + 12 4x = 6 + 12 Combine like terms: 6 + 12 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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