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Simplifying 5x + -2 = -2(x + 6) Reorder the terms: -2 + 5x = -2(x + 6) Reorder the terms: -2 + 5x = -2(6 + x) -2 + 5x = (6 * -2 + x * -2) -2 + 5x = (-12 + -2x) Solving -2 + 5x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 5x + 2x = -12 + -2x + 2x Combine like terms: 5x + 2x = 7x -2 + 7x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 7x = -12 + 0 -2 + 7x = -12 Add '2' to each side of the equation. -2 + 2 + 7x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -12 + 2 7x = -12 + 2 Combine like terms: -12 + 2 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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