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Simplifying 6(x + -5) = 2(2x + 1) Reorder the terms: 6(-5 + x) = 2(2x + 1) (-5 * 6 + x * 6) = 2(2x + 1) (-30 + 6x) = 2(2x + 1) Reorder the terms: -30 + 6x = 2(1 + 2x) -30 + 6x = (1 * 2 + 2x * 2) -30 + 6x = (2 + 4x) Solving -30 + 6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x -30 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 2x = 2 + 0 -30 + 2x = 2 Add '30' to each side of the equation. -30 + 30 + 2x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 2 + 30 2x = 2 + 30 Combine like terms: 2 + 30 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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