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Simplifying 3(4x + -10) = 2x + 7 Reorder the terms: 3(-10 + 4x) = 2x + 7 (-10 * 3 + 4x * 3) = 2x + 7 (-30 + 12x) = 2x + 7 Reorder the terms: -30 + 12x = 7 + 2x Solving -30 + 12x = 7 + 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 + 12x + -2x = 7 + 2x + -2x Combine like terms: 12x + -2x = 10x -30 + 10x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 10x = 7 + 0 -30 + 10x = 7 Add '30' to each side of the equation. -30 + 30 + 10x = 7 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 7 + 30 10x = 7 + 30 Combine like terms: 7 + 30 = 37 10x = 37 Divide each side by '10'. x = 3.7 Simplifying x = 3.7
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