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Simplifying 2(3x + -2) = 4(3x + 5) + -3(x + -6) Reorder the terms: 2(-2 + 3x) = 4(3x + 5) + -3(x + -6) (-2 * 2 + 3x * 2) = 4(3x + 5) + -3(x + -6) (-4 + 6x) = 4(3x + 5) + -3(x + -6) Reorder the terms: -4 + 6x = 4(5 + 3x) + -3(x + -6) -4 + 6x = (5 * 4 + 3x * 4) + -3(x + -6) -4 + 6x = (20 + 12x) + -3(x + -6) Reorder the terms: -4 + 6x = 20 + 12x + -3(-6 + x) -4 + 6x = 20 + 12x + (-6 * -3 + x * -3) -4 + 6x = 20 + 12x + (18 + -3x) Reorder the terms: -4 + 6x = 20 + 18 + 12x + -3x Combine like terms: 20 + 18 = 38 -4 + 6x = 38 + 12x + -3x Combine like terms: 12x + -3x = 9x -4 + 6x = 38 + 9x Solving -4 + 6x = 38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 6x + -9x = 38 + 9x + -9x Combine like terms: 6x + -9x = -3x -4 + -3x = 38 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -3x = 38 + 0 -4 + -3x = 38 Add '4' to each side of the equation. -4 + 4 + -3x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 38 + 4 -3x = 38 + 4 Combine like terms: 38 + 4 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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