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Simplifying 5(3x + 2) + -7(2x + -8) = 105 Reorder the terms: 5(2 + 3x) + -7(2x + -8) = 105 (2 * 5 + 3x * 5) + -7(2x + -8) = 105 (10 + 15x) + -7(2x + -8) = 105 Reorder the terms: 10 + 15x + -7(-8 + 2x) = 105 10 + 15x + (-8 * -7 + 2x * -7) = 105 10 + 15x + (56 + -14x) = 105 Reorder the terms: 10 + 56 + 15x + -14x = 105 Combine like terms: 10 + 56 = 66 66 + 15x + -14x = 105 Combine like terms: 15x + -14x = 1x 66 + 1x = 105 Solving 66 + 1x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 1x = 105 + -66 Combine like terms: 66 + -66 = 0 0 + 1x = 105 + -66 1x = 105 + -66 Combine like terms: 105 + -66 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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