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Simplifying 12 + -5(6 + -3x) = 2(6 + -1x) + -8x 12 + (6 * -5 + -3x * -5) = 2(6 + -1x) + -8x 12 + (-30 + 15x) = 2(6 + -1x) + -8x Combine like terms: 12 + -30 = -18 -18 + 15x = 2(6 + -1x) + -8x -18 + 15x = (6 * 2 + -1x * 2) + -8x -18 + 15x = (12 + -2x) + -8x Combine like terms: -2x + -8x = -10x -18 + 15x = 12 + -10x Solving -18 + 15x = 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. -18 + 15x + 10x = 12 + -10x + 10x Combine like terms: 15x + 10x = 25x -18 + 25x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 25x = 12 + 0 -18 + 25x = 12 Add '18' to each side of the equation. -18 + 18 + 25x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 25x = 12 + 18 25x = 12 + 18 Combine like terms: 12 + 18 = 30 25x = 30 Divide each side by '25'. x = 1.2 Simplifying x = 1.2
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