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Simplifying (x * 15) + -175 = (x * 6) + -13 Reorder the terms for easier multiplication: (15x) + -175 = (x * 6) + -13 Reorder the terms: -175 + (15x) = (x * 6) + -13 Reorder the terms for easier multiplication: -175 + (15x) = (6x) + -13 Reorder the terms: -175 + (15x) = -13 + (6x) Solving -175 + (15x) = -13 + (6x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-6x)' to each side of the equation. -175 + (15x) + (-6x) = -13 + (6x) + (-6x) Combine like terms: (15x) + (-6x) = 9x -175 + 9x = -13 + (6x) + (-6x) Combine like terms: (6x) + (-6x) = 0 -175 + 9x = -13 + 0 -175 + 9x = -13 Add '175' to each side of the equation. -175 + 175 + 9x = -13 + 175 Combine like terms: -175 + 175 = 0 0 + 9x = -13 + 175 9x = -13 + 175 Combine like terms: -13 + 175 = 162 9x = 162 Divide each side by '9'. x = 18 Simplifying x = 18
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