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Simplifying 6 + 2(3 + -2x) = 6x + 2(3x + -2) 6 + (3 * 2 + -2x * 2) = 6x + 2(3x + -2) 6 + (6 + -4x) = 6x + 2(3x + -2) Combine like terms: 6 + 6 = 12 12 + -4x = 6x + 2(3x + -2) Reorder the terms: 12 + -4x = 6x + 2(-2 + 3x) 12 + -4x = 6x + (-2 * 2 + 3x * 2) 12 + -4x = 6x + (-4 + 6x) Reorder the terms: 12 + -4x = -4 + 6x + 6x Combine like terms: 6x + 6x = 12x 12 + -4x = -4 + 12x Solving 12 + -4x = -4 + 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. 12 + -4x + -12x = -4 + 12x + -12x Combine like terms: -4x + -12x = -16x 12 + -16x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -16x = -4 + 0 12 + -16x = -4 Add '-12' to each side of the equation. 12 + -12 + -16x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = -4 + -12 -16x = -4 + -12 Combine like terms: -4 + -12 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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