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Simplifying -3(x + 3) + -5(1 + 7x) = 62 Reorder the terms: -3(3 + x) + -5(1 + 7x) = 62 (3 * -3 + x * -3) + -5(1 + 7x) = 62 (-9 + -3x) + -5(1 + 7x) = 62 -9 + -3x + (1 * -5 + 7x * -5) = 62 -9 + -3x + (-5 + -35x) = 62 Reorder the terms: -9 + -5 + -3x + -35x = 62 Combine like terms: -9 + -5 = -14 -14 + -3x + -35x = 62 Combine like terms: -3x + -35x = -38x -14 + -38x = 62 Solving -14 + -38x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -38x = 62 + 14 Combine like terms: -14 + 14 = 0 0 + -38x = 62 + 14 -38x = 62 + 14 Combine like terms: 62 + 14 = 76 -38x = 76 Divide each side by '-38'. x = -2 Simplifying x = -2
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