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Simplifying 4(3x + -6) + -8x = 6x + 10 Reorder the terms: 4(-6 + 3x) + -8x = 6x + 10 (-6 * 4 + 3x * 4) + -8x = 6x + 10 (-24 + 12x) + -8x = 6x + 10 Combine like terms: 12x + -8x = 4x -24 + 4x = 6x + 10 Reorder the terms: -24 + 4x = 10 + 6x Solving -24 + 4x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 4x + -6x = 10 + 6x + -6x Combine like terms: 4x + -6x = -2x -24 + -2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -2x = 10 + 0 -24 + -2x = 10 Add '24' to each side of the equation. -24 + 24 + -2x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 10 + 24 -2x = 10 + 24 Combine like terms: 10 + 24 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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