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Simplifying x + 4 + -5(x + 2) = 3x + -2 Reorder the terms: x + 4 + -5(2 + x) = 3x + -2 x + 4 + (2 * -5 + x * -5) = 3x + -2 x + 4 + (-10 + -5x) = 3x + -2 Reorder the terms: 4 + -10 + x + -5x = 3x + -2 Combine like terms: 4 + -10 = -6 -6 + x + -5x = 3x + -2 Combine like terms: x + -5x = -4x -6 + -4x = 3x + -2 Reorder the terms: -6 + -4x = -2 + 3x Solving -6 + -4x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -4x + -3x = -2 + 3x + -3x Combine like terms: -4x + -3x = -7x -6 + -7x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -7x = -2 + 0 -6 + -7x = -2 Add '6' to each side of the equation. -6 + 6 + -7x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -2 + 6 -7x = -2 + 6 Combine like terms: -2 + 6 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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