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Simplifying 7(3x + 5) = 5(x + -3) + -18 Reorder the terms: 7(5 + 3x) = 5(x + -3) + -18 (5 * 7 + 3x * 7) = 5(x + -3) + -18 (35 + 21x) = 5(x + -3) + -18 Reorder the terms: 35 + 21x = 5(-3 + x) + -18 35 + 21x = (-3 * 5 + x * 5) + -18 35 + 21x = (-15 + 5x) + -18 Reorder the terms: 35 + 21x = -15 + -18 + 5x Combine like terms: -15 + -18 = -33 35 + 21x = -33 + 5x Solving 35 + 21x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + 21x + -5x = -33 + 5x + -5x Combine like terms: 21x + -5x = 16x 35 + 16x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 16x = -33 + 0 35 + 16x = -33 Add '-35' to each side of the equation. 35 + -35 + 16x = -33 + -35 Combine like terms: 35 + -35 = 0 0 + 16x = -33 + -35 16x = -33 + -35 Combine like terms: -33 + -35 = -68 16x = -68 Divide each side by '16'. x = -4.25 Simplifying x = -4.25
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