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Simplifying (7(2x + -1) + -5(11x + 2)) * 35 = 455 Reorder the terms: (7(-1 + 2x) + -5(11x + 2)) * 35 = 455 ((-1 * 7 + 2x * 7) + -5(11x + 2)) * 35 = 455 ((-7 + 14x) + -5(11x + 2)) * 35 = 455 Reorder the terms: (-7 + 14x + -5(2 + 11x)) * 35 = 455 (-7 + 14x + (2 * -5 + 11x * -5)) * 35 = 455 (-7 + 14x + (-10 + -55x)) * 35 = 455 Reorder the terms: (-7 + -10 + 14x + -55x) * 35 = 455 Combine like terms: -7 + -10 = -17 (-17 + 14x + -55x) * 35 = 455 Combine like terms: 14x + -55x = -41x (-17 + -41x) * 35 = 455 Reorder the terms for easier multiplication: 35(-17 + -41x) = 455 (-17 * 35 + -41x * 35) = 455 (-595 + -1435x) = 455 Solving -595 + -1435x = 455 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '595' to each side of the equation. -595 + 595 + -1435x = 455 + 595 Combine like terms: -595 + 595 = 0 0 + -1435x = 455 + 595 -1435x = 455 + 595 Combine like terms: 455 + 595 = 1050 -1435x = 1050 Divide each side by '-1435'. x = -0.7317073171 Simplifying x = -0.7317073171
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