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Simplifying 4(8x + -2) + -3(8x + 2) = 30 Reorder the terms: 4(-2 + 8x) + -3(8x + 2) = 30 (-2 * 4 + 8x * 4) + -3(8x + 2) = 30 (-8 + 32x) + -3(8x + 2) = 30 Reorder the terms: -8 + 32x + -3(2 + 8x) = 30 -8 + 32x + (2 * -3 + 8x * -3) = 30 -8 + 32x + (-6 + -24x) = 30 Reorder the terms: -8 + -6 + 32x + -24x = 30 Combine like terms: -8 + -6 = -14 -14 + 32x + -24x = 30 Combine like terms: 32x + -24x = 8x -14 + 8x = 30 Solving -14 + 8x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 30 + 14 8x = 30 + 14 Combine like terms: 30 + 14 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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