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Simplifying 3(4 + -2x) + -7(1 + -2x) = 13 (4 * 3 + -2x * 3) + -7(1 + -2x) = 13 (12 + -6x) + -7(1 + -2x) = 13 12 + -6x + (1 * -7 + -2x * -7) = 13 12 + -6x + (-7 + 14x) = 13 Reorder the terms: 12 + -7 + -6x + 14x = 13 Combine like terms: 12 + -7 = 5 5 + -6x + 14x = 13 Combine like terms: -6x + 14x = 8x 5 + 8x = 13 Solving 5 + 8x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 13 + -5 8x = 13 + -5 Combine like terms: 13 + -5 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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