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Simplifying 2(3x + -10) + 2(x + 4) = 6x Reorder the terms: 2(-10 + 3x) + 2(x + 4) = 6x (-10 * 2 + 3x * 2) + 2(x + 4) = 6x (-20 + 6x) + 2(x + 4) = 6x Reorder the terms: -20 + 6x + 2(4 + x) = 6x -20 + 6x + (4 * 2 + x * 2) = 6x -20 + 6x + (8 + 2x) = 6x Reorder the terms: -20 + 8 + 6x + 2x = 6x Combine like terms: -20 + 8 = -12 -12 + 6x + 2x = 6x Combine like terms: 6x + 2x = 8x -12 + 8x = 6x Solving -12 + 8x = 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. -12 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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