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Simplifying 4(x + -6) + 8 = 10x + 8 + 8 Reorder the terms: 4(-6 + x) + 8 = 10x + 8 + 8 (-6 * 4 + x * 4) + 8 = 10x + 8 + 8 (-24 + 4x) + 8 = 10x + 8 + 8 Reorder the terms: -24 + 8 + 4x = 10x + 8 + 8 Combine like terms: -24 + 8 = -16 -16 + 4x = 10x + 8 + 8 Reorder the terms: -16 + 4x = 8 + 8 + 10x Combine like terms: 8 + 8 = 16 -16 + 4x = 16 + 10x Solving -16 + 4x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 4x + -10x = 16 + 10x + -10x Combine like terms: 4x + -10x = -6x -16 + -6x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -6x = 16 + 0 -16 + -6x = 16 Add '16' to each side of the equation. -16 + 16 + -6x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 16 + 16 -6x = 16 + 16 Combine like terms: 16 + 16 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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