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Simplifying 4x + 3x + -2x + 6 = 3(3x + -2) Reorder the terms: 6 + 4x + 3x + -2x = 3(3x + -2) Combine like terms: 4x + 3x = 7x 6 + 7x + -2x = 3(3x + -2) Combine like terms: 7x + -2x = 5x 6 + 5x = 3(3x + -2) Reorder the terms: 6 + 5x = 3(-2 + 3x) 6 + 5x = (-2 * 3 + 3x * 3) 6 + 5x = (-6 + 9x) Solving 6 + 5x = -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. 6 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x 6 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -4x = -6 + 0 6 + -4x = -6 Add '-6' to each side of the equation. 6 + -6 + -4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -6 + -6 -4x = -6 + -6 Combine like terms: -6 + -6 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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