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Simplifying 6x + 4 = 4(2x + -5x + -2) Reorder the terms: 4 + 6x = 4(2x + -5x + -2) Reorder the terms: 4 + 6x = 4(-2 + 2x + -5x) Combine like terms: 2x + -5x = -3x 4 + 6x = 4(-2 + -3x) 4 + 6x = (-2 * 4 + -3x * 4) 4 + 6x = (-8 + -12x) Solving 4 + 6x = -8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 6x + 12x = -8 + -12x + 12x Combine like terms: 6x + 12x = 18x 4 + 18x = -8 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 18x = -8 + 0 4 + 18x = -8 Add '-4' to each side of the equation. 4 + -4 + 18x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = -8 + -4 18x = -8 + -4 Combine like terms: -8 + -4 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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