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Simplifying 3x + -2(5 + -4x) = 6(2x + -3) 3x + (5 * -2 + -4x * -2) = 6(2x + -3) 3x + (-10 + 8x) = 6(2x + -3) Reorder the terms: -10 + 3x + 8x = 6(2x + -3) Combine like terms: 3x + 8x = 11x -10 + 11x = 6(2x + -3) Reorder the terms: -10 + 11x = 6(-3 + 2x) -10 + 11x = (-3 * 6 + 2x * 6) -10 + 11x = (-18 + 12x) Solving -10 + 11x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 11x + -12x = -18 + 12x + -12x Combine like terms: 11x + -12x = -1x -10 + -1x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -1x = -18 + 0 -10 + -1x = -18 Add '10' to each side of the equation. -10 + 10 + -1x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -18 + 10 -1x = -18 + 10 Combine like terms: -18 + 10 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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