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Simplifying 12 + -5(4 + -3x) = 2(4 + -1x) + -8x 12 + (4 * -5 + -3x * -5) = 2(4 + -1x) + -8x 12 + (-20 + 15x) = 2(4 + -1x) + -8x Combine like terms: 12 + -20 = -8 -8 + 15x = 2(4 + -1x) + -8x -8 + 15x = (4 * 2 + -1x * 2) + -8x -8 + 15x = (8 + -2x) + -8x Combine like terms: -2x + -8x = -10x -8 + 15x = 8 + -10x Solving -8 + 15x = 8 + -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. -8 + 15x + 10x = 8 + -10x + 10x Combine like terms: 15x + 10x = 25x -8 + 25x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 25x = 8 + 0 -8 + 25x = 8 Add '8' to each side of the equation. -8 + 8 + 25x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 25x = 8 + 8 25x = 8 + 8 Combine like terms: 8 + 8 = 16 25x = 16 Divide each side by '25'. x = 0.64 Simplifying x = 0.64
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