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Simplifying 6(1x + -5) = 2(1x + 5) Reorder the terms: 6(-5 + 1x) = 2(1x + 5) (-5 * 6 + 1x * 6) = 2(1x + 5) (-30 + 6x) = 2(1x + 5) Reorder the terms: -30 + 6x = 2(5 + 1x) -30 + 6x = (5 * 2 + 1x * 2) -30 + 6x = (10 + 2x) Solving -30 + 6x = 10 + 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. -30 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x -30 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 4x = 10 + 0 -30 + 4x = 10 Add '30' to each side of the equation. -30 + 30 + 4x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 10 + 30 4x = 10 + 30 Combine like terms: 10 + 30 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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