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Simplifying 7(2 + -5x) + 27 = 18x + -3(8 + -4x) (2 * 7 + -5x * 7) + 27 = 18x + -3(8 + -4x) (14 + -35x) + 27 = 18x + -3(8 + -4x) Reorder the terms: 14 + 27 + -35x = 18x + -3(8 + -4x) Combine like terms: 14 + 27 = 41 41 + -35x = 18x + -3(8 + -4x) 41 + -35x = 18x + (8 * -3 + -4x * -3) 41 + -35x = 18x + (-24 + 12x) Reorder the terms: 41 + -35x = -24 + 18x + 12x Combine like terms: 18x + 12x = 30x 41 + -35x = -24 + 30x Solving 41 + -35x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 41 + -35x + -30x = -24 + 30x + -30x Combine like terms: -35x + -30x = -65x 41 + -65x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 41 + -65x = -24 + 0 41 + -65x = -24 Add '-41' to each side of the equation. 41 + -41 + -65x = -24 + -41 Combine like terms: 41 + -41 = 0 0 + -65x = -24 + -41 -65x = -24 + -41 Combine like terms: -24 + -41 = -65 -65x = -65 Divide each side by '-65'. x = 1 Simplifying x = 1
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