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