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Simplifying 7(3x + -5) + 3(x + -1) = 0 Reorder the terms: 7(-5 + 3x) + 3(x + -1) = 0 (-5 * 7 + 3x * 7) + 3(x + -1) = 0 (-35 + 21x) + 3(x + -1) = 0 Reorder the terms: -35 + 21x + 3(-1 + x) = 0 -35 + 21x + (-1 * 3 + x * 3) = 0 -35 + 21x + (-3 + 3x) = 0 Reorder the terms: -35 + -3 + 21x + 3x = 0 Combine like terms: -35 + -3 = -38 -38 + 21x + 3x = 0 Combine like terms: 21x + 3x = 24x -38 + 24x = 0 Solving -38 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 24x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 24x = 0 + 38 24x = 0 + 38 Combine like terms: 0 + 38 = 38 24x = 38 Divide each side by '24'. x = 1.583333333 Simplifying x = 1.583333333
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