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Simplifying 4x + 5(-7x + 18) = -65 Reorder the terms: 4x + 5(18 + -7x) = -65 4x + (18 * 5 + -7x * 5) = -65 4x + (90 + -35x) = -65 Reorder the terms: 90 + 4x + -35x = -65 Combine like terms: 4x + -35x = -31x 90 + -31x = -65 Solving 90 + -31x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -31x = -65 + -90 Combine like terms: 90 + -90 = 0 0 + -31x = -65 + -90 -31x = -65 + -90 Combine like terms: -65 + -90 = -155 -31x = -155 Divide each side by '-31'. x = 5 Simplifying x = 5
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