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Simplifying 3x + -4(3x + -2) = 6x Reorder the terms: 3x + -4(-2 + 3x) = 6x 3x + (-2 * -4 + 3x * -4) = 6x 3x + (8 + -12x) = 6x Reorder the terms: 8 + 3x + -12x = 6x Combine like terms: 3x + -12x = -9x 8 + -9x = 6x Solving 8 + -9x = 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. 8 + -9x + -6x = 6x + -6x Combine like terms: -9x + -6x = -15x 8 + -15x = 6x + -6x Combine like terms: 6x + -6x = 0 8 + -15x = 0 Add '-8' to each side of the equation. 8 + -8 + -15x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 0 + -8 -15x = 0 + -8 Combine like terms: 0 + -8 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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