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Simplifying 4x + -1(8x + -12) = 2x + -6 Reorder the terms: 4x + -1(-12 + 8x) = 2x + -6 4x + (-12 * -1 + 8x * -1) = 2x + -6 4x + (12 + -8x) = 2x + -6 Reorder the terms: 12 + 4x + -8x = 2x + -6 Combine like terms: 4x + -8x = -4x 12 + -4x = 2x + -6 Reorder the terms: 12 + -4x = -6 + 2x Solving 12 + -4x = -6 + 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. 12 + -4x + -2x = -6 + 2x + -2x Combine like terms: -4x + -2x = -6x 12 + -6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -6x = -6 + 0 12 + -6x = -6 Add '-12' to each side of the equation. 12 + -12 + -6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -6 + -12 -6x = -6 + -12 Combine like terms: -6 + -12 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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