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Simplifying -2x + 3(4x + -10) = 6(2x + -5) Reorder the terms: -2x + 3(-10 + 4x) = 6(2x + -5) -2x + (-10 * 3 + 4x * 3) = 6(2x + -5) -2x + (-30 + 12x) = 6(2x + -5) Reorder the terms: -30 + -2x + 12x = 6(2x + -5) Combine like terms: -2x + 12x = 10x -30 + 10x = 6(2x + -5) Reorder the terms: -30 + 10x = 6(-5 + 2x) -30 + 10x = (-5 * 6 + 2x * 6) -30 + 10x = (-30 + 12x) Add '30' to each side of the equation. -30 + 30 + 10x = -30 + 30 + 12x Combine like terms: -30 + 30 = 0 0 + 10x = -30 + 30 + 12x 10x = -30 + 30 + 12x Combine like terms: -30 + 30 = 0 10x = 0 + 12x 10x = 12x Solving 10x = 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. 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x -2x = 12x + -12x Combine like terms: 12x + -12x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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