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Simplifying 8(-2 + 3x) + 8 = 19 + -3x (-2 * 8 + 3x * 8) + 8 = 19 + -3x (-16 + 24x) + 8 = 19 + -3x Reorder the terms: -16 + 8 + 24x = 19 + -3x Combine like terms: -16 + 8 = -8 -8 + 24x = 19 + -3x Solving -8 + 24x = 19 + -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. -8 + 24x + 3x = 19 + -3x + 3x Combine like terms: 24x + 3x = 27x -8 + 27x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 27x = 19 + 0 -8 + 27x = 19 Add '8' to each side of the equation. -8 + 8 + 27x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 27x = 19 + 8 27x = 19 + 8 Combine like terms: 19 + 8 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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