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Simplifying 3x + -2 + -9(x + -6) = 2x Reorder the terms: 3x + -2 + -9(-6 + x) = 2x 3x + -2 + (-6 * -9 + x * -9) = 2x 3x + -2 + (54 + -9x) = 2x Reorder the terms: -2 + 54 + 3x + -9x = 2x Combine like terms: -2 + 54 = 52 52 + 3x + -9x = 2x Combine like terms: 3x + -9x = -6x 52 + -6x = 2x Solving 52 + -6x = 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. 52 + -6x + -2x = 2x + -2x Combine like terms: -6x + -2x = -8x 52 + -8x = 2x + -2x Combine like terms: 2x + -2x = 0 52 + -8x = 0 Add '-52' to each side of the equation. 52 + -52 + -8x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -8x = 0 + -52 -8x = 0 + -52 Combine like terms: 0 + -52 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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