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Simplifying 3(8x + 5) + -19 = 7 + -3x Reorder the terms: 3(5 + 8x) + -19 = 7 + -3x (5 * 3 + 8x * 3) + -19 = 7 + -3x (15 + 24x) + -19 = 7 + -3x Reorder the terms: 15 + -19 + 24x = 7 + -3x Combine like terms: 15 + -19 = -4 -4 + 24x = 7 + -3x Solving -4 + 24x = 7 + -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. -4 + 24x + 3x = 7 + -3x + 3x Combine like terms: 24x + 3x = 27x -4 + 27x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 27x = 7 + 0 -4 + 27x = 7 Add '4' to each side of the equation. -4 + 4 + 27x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 27x = 7 + 4 27x = 7 + 4 Combine like terms: 7 + 4 = 11 27x = 11 Divide each side by '27'. x = 0.4074074074 Simplifying x = 0.4074074074
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