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Simplifying 6(2x + -5) = 2(x + 65) Reorder the terms: 6(-5 + 2x) = 2(x + 65) (-5 * 6 + 2x * 6) = 2(x + 65) (-30 + 12x) = 2(x + 65) Reorder the terms: -30 + 12x = 2(65 + x) -30 + 12x = (65 * 2 + x * 2) -30 + 12x = (130 + 2x) Solving -30 + 12x = 130 + 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 + 12x + -2x = 130 + 2x + -2x Combine like terms: 12x + -2x = 10x -30 + 10x = 130 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 10x = 130 + 0 -30 + 10x = 130 Add '30' to each side of the equation. -30 + 30 + 10x = 130 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 130 + 30 10x = 130 + 30 Combine like terms: 130 + 30 = 160 10x = 160 Divide each side by '10'. x = 16 Simplifying x = 16
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