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Simplifying 6 + -2x = 3(2x + 4) Reorder the terms: 6 + -2x = 3(4 + 2x) 6 + -2x = (4 * 3 + 2x * 3) 6 + -2x = (12 + 6x) Solving 6 + -2x = 12 + 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 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x 6 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -8x = 12 + 0 6 + -8x = 12 Add '-6' to each side of the equation. 6 + -6 + -8x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 12 + -6 -8x = 12 + -6 Combine like terms: 12 + -6 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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