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Simplifying 5(4x + 7) + -2(3x + -8) = 135 Reorder the terms: 5(7 + 4x) + -2(3x + -8) = 135 (7 * 5 + 4x * 5) + -2(3x + -8) = 135 (35 + 20x) + -2(3x + -8) = 135 Reorder the terms: 35 + 20x + -2(-8 + 3x) = 135 35 + 20x + (-8 * -2 + 3x * -2) = 135 35 + 20x + (16 + -6x) = 135 Reorder the terms: 35 + 16 + 20x + -6x = 135 Combine like terms: 35 + 16 = 51 51 + 20x + -6x = 135 Combine like terms: 20x + -6x = 14x 51 + 14x = 135 Solving 51 + 14x = 135 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 14x = 135 + -51 Combine like terms: 51 + -51 = 0 0 + 14x = 135 + -51 14x = 135 + -51 Combine like terms: 135 + -51 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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