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Simplifying 3(2x + -10) = 2x + 6 Reorder the terms: 3(-10 + 2x) = 2x + 6 (-10 * 3 + 2x * 3) = 2x + 6 (-30 + 6x) = 2x + 6 Reorder the terms: -30 + 6x = 6 + 2x Solving -30 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -30 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 4x = 6 + 0 -30 + 4x = 6 Add '30' to each side of the equation. -30 + 30 + 4x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 6 + 30 4x = 6 + 30 Combine like terms: 6 + 30 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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