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Simplifying 8x + -3(x + 8) = x + 30 Reorder the terms: 8x + -3(8 + x) = x + 30 8x + (8 * -3 + x * -3) = x + 30 8x + (-24 + -3x) = x + 30 Reorder the terms: -24 + 8x + -3x = x + 30 Combine like terms: 8x + -3x = 5x -24 + 5x = x + 30 Reorder the terms: -24 + 5x = 30 + x Solving -24 + 5x = 30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + 5x + -1x = 30 + x + -1x Combine like terms: 5x + -1x = 4x -24 + 4x = 30 + x + -1x Combine like terms: x + -1x = 0 -24 + 4x = 30 + 0 -24 + 4x = 30 Add '24' to each side of the equation. -24 + 24 + 4x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 30 + 24 4x = 30 + 24 Combine like terms: 30 + 24 = 54 4x = 54 Divide each side by '4'. x = 13.5 Simplifying x = 13.5
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