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Simplifying 4x + -2(3x + 2) = 6x + -12 Reorder the terms: 4x + -2(2 + 3x) = 6x + -12 4x + (2 * -2 + 3x * -2) = 6x + -12 4x + (-4 + -6x) = 6x + -12 Reorder the terms: -4 + 4x + -6x = 6x + -12 Combine like terms: 4x + -6x = -2x -4 + -2x = 6x + -12 Reorder the terms: -4 + -2x = -12 + 6x Solving -4 + -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. -4 + -2x + -6x = -12 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = -12 + 0 -4 + -8x = -12 Add '4' to each side of the equation. -4 + 4 + -8x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -12 + 4 -8x = -12 + 4 Combine like terms: -12 + 4 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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