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Simplifying 6(x + -8) = -6 + 2(6x + -3) Reorder the terms: 6(-8 + x) = -6 + 2(6x + -3) (-8 * 6 + x * 6) = -6 + 2(6x + -3) (-48 + 6x) = -6 + 2(6x + -3) Reorder the terms: -48 + 6x = -6 + 2(-3 + 6x) -48 + 6x = -6 + (-3 * 2 + 6x * 2) -48 + 6x = -6 + (-6 + 12x) Combine like terms: -6 + -6 = -12 -48 + 6x = -12 + 12x Solving -48 + 6x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -48 + 6x + -12x = -12 + 12x + -12x Combine like terms: 6x + -12x = -6x -48 + -6x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + -6x = -12 + 0 -48 + -6x = -12 Add '48' to each side of the equation. -48 + 48 + -6x = -12 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = -12 + 48 -6x = -12 + 48 Combine like terms: -12 + 48 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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