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Simplifying -6x + -8(x + -6) = -2x + 2(4x + -6) Reorder the terms: -6x + -8(-6 + x) = -2x + 2(4x + -6) -6x + (-6 * -8 + x * -8) = -2x + 2(4x + -6) -6x + (48 + -8x) = -2x + 2(4x + -6) Reorder the terms: 48 + -6x + -8x = -2x + 2(4x + -6) Combine like terms: -6x + -8x = -14x 48 + -14x = -2x + 2(4x + -6) Reorder the terms: 48 + -14x = -2x + 2(-6 + 4x) 48 + -14x = -2x + (-6 * 2 + 4x * 2) 48 + -14x = -2x + (-12 + 8x) Reorder the terms: 48 + -14x = -12 + -2x + 8x Combine like terms: -2x + 8x = 6x 48 + -14x = -12 + 6x Solving 48 + -14x = -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. 48 + -14x + -6x = -12 + 6x + -6x Combine like terms: -14x + -6x = -20x 48 + -20x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -20x = -12 + 0 48 + -20x = -12 Add '-48' to each side of the equation. 48 + -48 + -20x = -12 + -48 Combine like terms: 48 + -48 = 0 0 + -20x = -12 + -48 -20x = -12 + -48 Combine like terms: -12 + -48 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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