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Simplifying 2x + 4x + 6 = 3(3x + -3) Reorder the terms: 6 + 2x + 4x = 3(3x + -3) Combine like terms: 2x + 4x = 6x 6 + 6x = 3(3x + -3) Reorder the terms: 6 + 6x = 3(-3 + 3x) 6 + 6x = (-3 * 3 + 3x * 3) 6 + 6x = (-9 + 9x) Solving 6 + 6x = -9 + 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. 6 + 6x + -9x = -9 + 9x + -9x Combine like terms: 6x + -9x = -3x 6 + -3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -3x = -9 + 0 6 + -3x = -9 Add '-6' to each side of the equation. 6 + -6 + -3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -9 + -6 -3x = -9 + -6 Combine like terms: -9 + -6 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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