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Simplifying 4x + -1(2x + 6) = 8x + -12 Reorder the terms: 4x + -1(6 + 2x) = 8x + -12 4x + (6 * -1 + 2x * -1) = 8x + -12 4x + (-6 + -2x) = 8x + -12 Reorder the terms: -6 + 4x + -2x = 8x + -12 Combine like terms: 4x + -2x = 2x -6 + 2x = 8x + -12 Reorder the terms: -6 + 2x = -12 + 8x Solving -6 + 2x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 2x + -8x = -12 + 8x + -8x Combine like terms: 2x + -8x = -6x -6 + -6x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -6x = -12 + 0 -6 + -6x = -12 Add '6' to each side of the equation. -6 + 6 + -6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -12 + 6 -6x = -12 + 6 Combine like terms: -12 + 6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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