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Simplifying -253(52x + -5) + 2x = 15 + -253(-5 + 52x) Reorder the terms: -253(-5 + 52x) + 2x = 15 + -253(-5 + 52x) (-5 * -253 + 52x * -253) + 2x = 15 + -253(-5 + 52x) (1265 + -13156x) + 2x = 15 + -253(-5 + 52x) Combine like terms: -13156x + 2x = -13154x 1265 + -13154x = 15 + -253(-5 + 52x) 1265 + -13154x = 15 + (-5 * -253 + 52x * -253) 1265 + -13154x = 15 + (1265 + -13156x) Combine like terms: 15 + 1265 = 1280 1265 + -13154x = 1280 + -13156x Solving 1265 + -13154x = 1280 + -13156x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13156x' to each side of the equation. 1265 + -13154x + 13156x = 1280 + -13156x + 13156x Combine like terms: -13154x + 13156x = 2x 1265 + 2x = 1280 + -13156x + 13156x Combine like terms: -13156x + 13156x = 0 1265 + 2x = 1280 + 0 1265 + 2x = 1280 Add '-1265' to each side of the equation. 1265 + -1265 + 2x = 1280 + -1265 Combine like terms: 1265 + -1265 = 0 0 + 2x = 1280 + -1265 2x = 1280 + -1265 Combine like terms: 1280 + -1265 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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