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Simplifying 13x + -2(4x + -5) = 66 + -3x Reorder the terms: 13x + -2(-5 + 4x) = 66 + -3x 13x + (-5 * -2 + 4x * -2) = 66 + -3x 13x + (10 + -8x) = 66 + -3x Reorder the terms: 10 + 13x + -8x = 66 + -3x Combine like terms: 13x + -8x = 5x 10 + 5x = 66 + -3x Solving 10 + 5x = 66 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 5x + 3x = 66 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = 66 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = 66 + 0 10 + 8x = 66 Add '-10' to each side of the equation. 10 + -10 + 8x = 66 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 66 + -10 8x = 66 + -10 Combine like terms: 66 + -10 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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