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Simplifying 4(3x + -5) = -6 + 10x Reorder the terms: 4(-5 + 3x) = -6 + 10x (-5 * 4 + 3x * 4) = -6 + 10x (-20 + 12x) = -6 + 10x Solving -20 + 12x = -6 + 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. -20 + 12x + -10x = -6 + 10x + -10x Combine like terms: 12x + -10x = 2x -20 + 2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 2x = -6 + 0 -20 + 2x = -6 Add '20' to each side of the equation. -20 + 20 + 2x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -6 + 20 2x = -6 + 20 Combine like terms: -6 + 20 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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