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Simplifying 5x + 6(8x + -2) = 6(8x + -4) + -8 Reorder the terms: 5x + 6(-2 + 8x) = 6(8x + -4) + -8 5x + (-2 * 6 + 8x * 6) = 6(8x + -4) + -8 5x + (-12 + 48x) = 6(8x + -4) + -8 Reorder the terms: -12 + 5x + 48x = 6(8x + -4) + -8 Combine like terms: 5x + 48x = 53x -12 + 53x = 6(8x + -4) + -8 Reorder the terms: -12 + 53x = 6(-4 + 8x) + -8 -12 + 53x = (-4 * 6 + 8x * 6) + -8 -12 + 53x = (-24 + 48x) + -8 Reorder the terms: -12 + 53x = -24 + -8 + 48x Combine like terms: -24 + -8 = -32 -12 + 53x = -32 + 48x Solving -12 + 53x = -32 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -12 + 53x + -48x = -32 + 48x + -48x Combine like terms: 53x + -48x = 5x -12 + 5x = -32 + 48x + -48x Combine like terms: 48x + -48x = 0 -12 + 5x = -32 + 0 -12 + 5x = -32 Add '12' to each side of the equation. -12 + 12 + 5x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -32 + 12 5x = -32 + 12 Combine like terms: -32 + 12 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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