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Simplifying 3(4x + -10 + -2x) = 12 + 3x + -6 Reorder the terms: 3(-10 + 4x + -2x) = 12 + 3x + -6 Combine like terms: 4x + -2x = 2x 3(-10 + 2x) = 12 + 3x + -6 (-10 * 3 + 2x * 3) = 12 + 3x + -6 (-30 + 6x) = 12 + 3x + -6 Reorder the terms: -30 + 6x = 12 + -6 + 3x Combine like terms: 12 + -6 = 6 -30 + 6x = 6 + 3x Solving -30 + 6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 3x = 6 + 0 -30 + 3x = 6 Add '30' to each side of the equation. -30 + 30 + 3x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 6 + 30 3x = 6 + 30 Combine like terms: 6 + 30 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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