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Simplifying 3(x + 4x + -2) = 6x + -3 Reorder the terms: 3(-2 + x + 4x) = 6x + -3 Combine like terms: x + 4x = 5x 3(-2 + 5x) = 6x + -3 (-2 * 3 + 5x * 3) = 6x + -3 (-6 + 15x) = 6x + -3 Reorder the terms: -6 + 15x = -3 + 6x Solving -6 + 15x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 15x + -6x = -3 + 6x + -6x Combine like terms: 15x + -6x = 9x -6 + 9x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 9x = -3 + 0 -6 + 9x = -3 Add '6' to each side of the equation. -6 + 6 + 9x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -3 + 6 9x = -3 + 6 Combine like terms: -3 + 6 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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