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Simplifying 5(8 + 3x) = 19 + 8x (8 * 5 + 3x * 5) = 19 + 8x (40 + 15x) = 19 + 8x Solving 40 + 15x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 40 + 15x + -8x = 19 + 8x + -8x Combine like terms: 15x + -8x = 7x 40 + 7x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + 7x = 19 + 0 40 + 7x = 19 Add '-40' to each side of the equation. 40 + -40 + 7x = 19 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 19 + -40 7x = 19 + -40 Combine like terms: 19 + -40 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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