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Simplifying -5(6 + -1x) + 6 = 2(x + -3) (6 * -5 + -1x * -5) + 6 = 2(x + -3) (-30 + 5x) + 6 = 2(x + -3) Reorder the terms: -30 + 6 + 5x = 2(x + -3) Combine like terms: -30 + 6 = -24 -24 + 5x = 2(x + -3) Reorder the terms: -24 + 5x = 2(-3 + x) -24 + 5x = (-3 * 2 + x * 2) -24 + 5x = (-6 + 2x) Solving -24 + 5x = -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. -24 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x -24 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 3x = -6 + 0 -24 + 3x = -6 Add '24' to each side of the equation. -24 + 24 + 3x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -6 + 24 3x = -6 + 24 Combine like terms: -6 + 24 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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