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Simplifying 2 + 3(3x + -4) = -3(2x + 1) Reorder the terms: 2 + 3(-4 + 3x) = -3(2x + 1) 2 + (-4 * 3 + 3x * 3) = -3(2x + 1) 2 + (-12 + 9x) = -3(2x + 1) Combine like terms: 2 + -12 = -10 -10 + 9x = -3(2x + 1) Reorder the terms: -10 + 9x = -3(1 + 2x) -10 + 9x = (1 * -3 + 2x * -3) -10 + 9x = (-3 + -6x) Solving -10 + 9x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 9x + 6x = -3 + -6x + 6x Combine like terms: 9x + 6x = 15x -10 + 15x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 15x = -3 + 0 -10 + 15x = -3 Add '10' to each side of the equation. -10 + 10 + 15x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -3 + 10 15x = -3 + 10 Combine like terms: -3 + 10 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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