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Simplifying (x * 2) + 75 = (x * 7) + -10 Reorder the terms for easier multiplication: (2x) + 75 = (x * 7) + -10 Reorder the terms: 75 + (2x) = (x * 7) + -10 Reorder the terms for easier multiplication: 75 + (2x) = (7x) + -10 Reorder the terms: 75 + (2x) = -10 + (7x) Solving 75 + (2x) = -10 + (7x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-7x)' to each side of the equation. 75 + (2x) + (-7x) = -10 + (7x) + (-7x) Combine like terms: (2x) + (-7x) = -5x 75 + -5x = -10 + (7x) + (-7x) Combine like terms: (7x) + (-7x) = 0 75 + -5x = -10 + 0 75 + -5x = -10 Add '-75' to each side of the equation. 75 + -75 + -5x = -10 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = -10 + -75 -5x = -10 + -75 Combine like terms: -10 + -75 = -85 -5x = -85 Divide each side by '-5'. x = 17 Simplifying x = 17
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