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Simplifying 8(3x + -2) = 5(x + -4) + 8 Reorder the terms: 8(-2 + 3x) = 5(x + -4) + 8 (-2 * 8 + 3x * 8) = 5(x + -4) + 8 (-16 + 24x) = 5(x + -4) + 8 Reorder the terms: -16 + 24x = 5(-4 + x) + 8 -16 + 24x = (-4 * 5 + x * 5) + 8 -16 + 24x = (-20 + 5x) + 8 Reorder the terms: -16 + 24x = -20 + 8 + 5x Combine like terms: -20 + 8 = -12 -16 + 24x = -12 + 5x Solving -16 + 24x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 24x + -5x = -12 + 5x + -5x Combine like terms: 24x + -5x = 19x -16 + 19x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 19x = -12 + 0 -16 + 19x = -12 Add '16' to each side of the equation. -16 + 16 + 19x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 19x = -12 + 16 19x = -12 + 16 Combine like terms: -12 + 16 = 4 19x = 4 Divide each side by '19'. x = 0.2105263158 Simplifying x = 0.2105263158
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