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Simplifying 3(x) + -4(2x) = 12(1) + -2(5x) Remove parenthesis around (2x) 3x + -4 * 2x = 12(1) + -2(5x) Multiply -4 * 2 3x + -8x = 12(1) + -2(5x) Combine like terms: 3x + -8x = -5x -5x = 12(1) + -2(5x) Multiply 12 * 1 -5x = 12 + -2(5x) Remove parenthesis around (5x) -5x = 12 + -2 * 5x Multiply -2 * 5 -5x = 12 + -10x Solving -5x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -5x + 10x = 12 + -10x + 10x Combine like terms: -5x + 10x = 5x 5x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 5x = 12 + 0 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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