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Simplifying 13(17 + -1x) = 15(6x + 1) (17 * 13 + -1x * 13) = 15(6x + 1) (221 + -13x) = 15(6x + 1) Reorder the terms: 221 + -13x = 15(1 + 6x) 221 + -13x = (1 * 15 + 6x * 15) 221 + -13x = (15 + 90x) Solving 221 + -13x = 15 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 221 + -13x + -90x = 15 + 90x + -90x Combine like terms: -13x + -90x = -103x 221 + -103x = 15 + 90x + -90x Combine like terms: 90x + -90x = 0 221 + -103x = 15 + 0 221 + -103x = 15 Add '-221' to each side of the equation. 221 + -221 + -103x = 15 + -221 Combine like terms: 221 + -221 = 0 0 + -103x = 15 + -221 -103x = 15 + -221 Combine like terms: 15 + -221 = -206 -103x = -206 Divide each side by '-103'. x = 2 Simplifying x = 2
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