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Simplifying 4x + -2 = 6(3 + 2x) Reorder the terms: -2 + 4x = 6(3 + 2x) -2 + 4x = (3 * 6 + 2x * 6) -2 + 4x = (18 + 12x) Solving -2 + 4x = 18 + 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. -2 + 4x + -12x = 18 + 12x + -12x Combine like terms: 4x + -12x = -8x -2 + -8x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -8x = 18 + 0 -2 + -8x = 18 Add '2' to each side of the equation. -2 + 2 + -8x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 18 + 2 -8x = 18 + 2 Combine like terms: 18 + 2 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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