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Simplifying 4(3x + 5) + -3(2x + -7) = 18 Reorder the terms: 4(5 + 3x) + -3(2x + -7) = 18 (5 * 4 + 3x * 4) + -3(2x + -7) = 18 (20 + 12x) + -3(2x + -7) = 18 Reorder the terms: 20 + 12x + -3(-7 + 2x) = 18 20 + 12x + (-7 * -3 + 2x * -3) = 18 20 + 12x + (21 + -6x) = 18 Reorder the terms: 20 + 21 + 12x + -6x = 18 Combine like terms: 20 + 21 = 41 41 + 12x + -6x = 18 Combine like terms: 12x + -6x = 6x 41 + 6x = 18 Solving 41 + 6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 6x = 18 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 18 + -41 6x = 18 + -41 Combine like terms: 18 + -41 = -23 6x = -23 Divide each side by '6'. x = -3.833333333 Simplifying x = -3.833333333
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