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Simplifying 6(x + 3) + -2x = 9x + -6 Reorder the terms: 6(3 + x) + -2x = 9x + -6 (3 * 6 + x * 6) + -2x = 9x + -6 (18 + 6x) + -2x = 9x + -6 Combine like terms: 6x + -2x = 4x 18 + 4x = 9x + -6 Reorder the terms: 18 + 4x = -6 + 9x Solving 18 + 4x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 4x + -9x = -6 + 9x + -9x Combine like terms: 4x + -9x = -5x 18 + -5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -5x = -6 + 0 18 + -5x = -6 Add '-18' to each side of the equation. 18 + -18 + -5x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = -6 + -18 -5x = -6 + -18 Combine like terms: -6 + -18 = -24 -5x = -24 Divide each side by '-5'. x = 4.8 Simplifying x = 4.8
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