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Simplifying 7(3x + -5) = 3(x + 3) + -17 Reorder the terms: 7(-5 + 3x) = 3(x + 3) + -17 (-5 * 7 + 3x * 7) = 3(x + 3) + -17 (-35 + 21x) = 3(x + 3) + -17 Reorder the terms: -35 + 21x = 3(3 + x) + -17 -35 + 21x = (3 * 3 + x * 3) + -17 -35 + 21x = (9 + 3x) + -17 Reorder the terms: -35 + 21x = 9 + -17 + 3x Combine like terms: 9 + -17 = -8 -35 + 21x = -8 + 3x Solving -35 + 21x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 21x + -3x = -8 + 3x + -3x Combine like terms: 21x + -3x = 18x -35 + 18x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 18x = -8 + 0 -35 + 18x = -8 Add '35' to each side of the equation. -35 + 35 + 18x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 18x = -8 + 35 18x = -8 + 35 Combine like terms: -8 + 35 = 27 18x = 27 Divide each side by '18'. x = 1.5 Simplifying x = 1.5
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