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Simplifying 5x + -5 + 3(2x + 1) = -4(x + 3) Reorder the terms: 5x + -5 + 3(1 + 2x) = -4(x + 3) 5x + -5 + (1 * 3 + 2x * 3) = -4(x + 3) 5x + -5 + (3 + 6x) = -4(x + 3) Reorder the terms: -5 + 3 + 5x + 6x = -4(x + 3) Combine like terms: -5 + 3 = -2 -2 + 5x + 6x = -4(x + 3) Combine like terms: 5x + 6x = 11x -2 + 11x = -4(x + 3) Reorder the terms: -2 + 11x = -4(3 + x) -2 + 11x = (3 * -4 + x * -4) -2 + 11x = (-12 + -4x) Solving -2 + 11x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 11x + 4x = -12 + -4x + 4x Combine like terms: 11x + 4x = 15x -2 + 15x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 15x = -12 + 0 -2 + 15x = -12 Add '2' to each side of the equation. -2 + 2 + 15x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = -12 + 2 15x = -12 + 2 Combine like terms: -12 + 2 = -10 15x = -10 Divide each side by '15'. x = -0.6666666667 Simplifying x = -0.6666666667
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