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Simplifying 3(2x + 6) + -1(2x + -35) = 1 Reorder the terms: 3(6 + 2x) + -1(2x + -35) = 1 (6 * 3 + 2x * 3) + -1(2x + -35) = 1 (18 + 6x) + -1(2x + -35) = 1 Reorder the terms: 18 + 6x + -1(-35 + 2x) = 1 18 + 6x + (-35 * -1 + 2x * -1) = 1 18 + 6x + (35 + -2x) = 1 Reorder the terms: 18 + 35 + 6x + -2x = 1 Combine like terms: 18 + 35 = 53 53 + 6x + -2x = 1 Combine like terms: 6x + -2x = 4x 53 + 4x = 1 Solving 53 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 4x = 1 + -53 Combine like terms: 53 + -53 = 0 0 + 4x = 1 + -53 4x = 1 + -53 Combine like terms: 1 + -53 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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