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Simplifying 3(2x + 1) = 7(2x + -5) + -2 Reorder the terms: 3(1 + 2x) = 7(2x + -5) + -2 (1 * 3 + 2x * 3) = 7(2x + -5) + -2 (3 + 6x) = 7(2x + -5) + -2 Reorder the terms: 3 + 6x = 7(-5 + 2x) + -2 3 + 6x = (-5 * 7 + 2x * 7) + -2 3 + 6x = (-35 + 14x) + -2 Reorder the terms: 3 + 6x = -35 + -2 + 14x Combine like terms: -35 + -2 = -37 3 + 6x = -37 + 14x Solving 3 + 6x = -37 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + 6x + -14x = -37 + 14x + -14x Combine like terms: 6x + -14x = -8x 3 + -8x = -37 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + -8x = -37 + 0 3 + -8x = -37 Add '-3' to each side of the equation. 3 + -3 + -8x = -37 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -37 + -3 -8x = -37 + -3 Combine like terms: -37 + -3 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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