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Simplifying 7(3 + -2x) = 4(x + 5) (3 * 7 + -2x * 7) = 4(x + 5) (21 + -14x) = 4(x + 5) Reorder the terms: 21 + -14x = 4(5 + x) 21 + -14x = (5 * 4 + x * 4) 21 + -14x = (20 + 4x) Solving 21 + -14x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + -14x + -4x = 20 + 4x + -4x Combine like terms: -14x + -4x = -18x 21 + -18x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -18x = 20 + 0 21 + -18x = 20 Add '-21' to each side of the equation. 21 + -21 + -18x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = 20 + -21 -18x = 20 + -21 Combine like terms: 20 + -21 = -1 -18x = -1 Divide each side by '-18'. x = 0.05555555556 Simplifying x = 0.05555555556
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