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Simplifying 6(x + 2) = 2(35 + 5x) Reorder the terms: 6(2 + x) = 2(35 + 5x) (2 * 6 + x * 6) = 2(35 + 5x) (12 + 6x) = 2(35 + 5x) 12 + 6x = (35 * 2 + 5x * 2) 12 + 6x = (70 + 10x) Solving 12 + 6x = 70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 6x + -10x = 70 + 10x + -10x Combine like terms: 6x + -10x = -4x 12 + -4x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -4x = 70 + 0 12 + -4x = 70 Add '-12' to each side of the equation. 12 + -12 + -4x = 70 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 70 + -12 -4x = 70 + -12 Combine like terms: 70 + -12 = 58 -4x = 58 Divide each side by '-4'. x = -14.5 Simplifying x = -14.5
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