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Simplifying 5x + -4 + 2(3x + 1) = -7(x + 2) Reorder the terms: 5x + -4 + 2(1 + 3x) = -7(x + 2) 5x + -4 + (1 * 2 + 3x * 2) = -7(x + 2) 5x + -4 + (2 + 6x) = -7(x + 2) Reorder the terms: -4 + 2 + 5x + 6x = -7(x + 2) Combine like terms: -4 + 2 = -2 -2 + 5x + 6x = -7(x + 2) Combine like terms: 5x + 6x = 11x -2 + 11x = -7(x + 2) Reorder the terms: -2 + 11x = -7(2 + x) -2 + 11x = (2 * -7 + x * -7) -2 + 11x = (-14 + -7x) Solving -2 + 11x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 11x + 7x = -14 + -7x + 7x Combine like terms: 11x + 7x = 18x -2 + 18x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 18x = -14 + 0 -2 + 18x = -14 Add '2' to each side of the equation. -2 + 2 + 18x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = -14 + 2 18x = -14 + 2 Combine like terms: -14 + 2 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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