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Simplifying 10x + -2(3x + -6) = 4(3x + -6) + -8 Reorder the terms: 10x + -2(-6 + 3x) = 4(3x + -6) + -8 10x + (-6 * -2 + 3x * -2) = 4(3x + -6) + -8 10x + (12 + -6x) = 4(3x + -6) + -8 Reorder the terms: 12 + 10x + -6x = 4(3x + -6) + -8 Combine like terms: 10x + -6x = 4x 12 + 4x = 4(3x + -6) + -8 Reorder the terms: 12 + 4x = 4(-6 + 3x) + -8 12 + 4x = (-6 * 4 + 3x * 4) + -8 12 + 4x = (-24 + 12x) + -8 Reorder the terms: 12 + 4x = -24 + -8 + 12x Combine like terms: -24 + -8 = -32 12 + 4x = -32 + 12x Solving 12 + 4x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 4x + -12x = -32 + 12x + -12x Combine like terms: 4x + -12x = -8x 12 + -8x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -8x = -32 + 0 12 + -8x = -32 Add '-12' to each side of the equation. 12 + -12 + -8x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -32 + -12 -8x = -32 + -12 Combine like terms: -32 + -12 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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