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Simplifying 3x + 8 = 5x + -6(x + 4) Reorder the terms: 8 + 3x = 5x + -6(x + 4) Reorder the terms: 8 + 3x = 5x + -6(4 + x) 8 + 3x = 5x + (4 * -6 + x * -6) 8 + 3x = 5x + (-24 + -6x) Reorder the terms: 8 + 3x = -24 + 5x + -6x Combine like terms: 5x + -6x = -1x 8 + 3x = -24 + -1x Solving 8 + 3x = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 3x + x = -24 + -1x + x Combine like terms: 3x + x = 4x 8 + 4x = -24 + -1x + x Combine like terms: -1x + x = 0 8 + 4x = -24 + 0 8 + 4x = -24 Add '-8' to each side of the equation. 8 + -8 + 4x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -24 + -8 4x = -24 + -8 Combine like terms: -24 + -8 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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