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Simplifying 3(2x + -7) + -5(3x + 1) = 1 Reorder the terms: 3(-7 + 2x) + -5(3x + 1) = 1 (-7 * 3 + 2x * 3) + -5(3x + 1) = 1 (-21 + 6x) + -5(3x + 1) = 1 Reorder the terms: -21 + 6x + -5(1 + 3x) = 1 -21 + 6x + (1 * -5 + 3x * -5) = 1 -21 + 6x + (-5 + -15x) = 1 Reorder the terms: -21 + -5 + 6x + -15x = 1 Combine like terms: -21 + -5 = -26 -26 + 6x + -15x = 1 Combine like terms: 6x + -15x = -9x -26 + -9x = 1 Solving -26 + -9x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -9x = 1 + 26 Combine like terms: -26 + 26 = 0 0 + -9x = 1 + 26 -9x = 1 + 26 Combine like terms: 1 + 26 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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