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Simplifying 5(8x + 19) = 3(x + 7) Reorder the terms: 5(19 + 8x) = 3(x + 7) (19 * 5 + 8x * 5) = 3(x + 7) (95 + 40x) = 3(x + 7) Reorder the terms: 95 + 40x = 3(7 + x) 95 + 40x = (7 * 3 + x * 3) 95 + 40x = (21 + 3x) Solving 95 + 40x = 21 + 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. 95 + 40x + -3x = 21 + 3x + -3x Combine like terms: 40x + -3x = 37x 95 + 37x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 95 + 37x = 21 + 0 95 + 37x = 21 Add '-95' to each side of the equation. 95 + -95 + 37x = 21 + -95 Combine like terms: 95 + -95 = 0 0 + 37x = 21 + -95 37x = 21 + -95 Combine like terms: 21 + -95 = -74 37x = -74 Divide each side by '37'. x = -2 Simplifying x = -2
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