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Simplifying -5x + 4(x + -6) = 7x + 8 Reorder the terms: -5x + 4(-6 + x) = 7x + 8 -5x + (-6 * 4 + x * 4) = 7x + 8 -5x + (-24 + 4x) = 7x + 8 Reorder the terms: -24 + -5x + 4x = 7x + 8 Combine like terms: -5x + 4x = -1x -24 + -1x = 7x + 8 Reorder the terms: -24 + -1x = 8 + 7x Solving -24 + -1x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + -1x + -7x = 8 + 7x + -7x Combine like terms: -1x + -7x = -8x -24 + -8x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -8x = 8 + 0 -24 + -8x = 8 Add '24' to each side of the equation. -24 + 24 + -8x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 8 + 24 -8x = 8 + 24 Combine like terms: 8 + 24 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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