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Simplifying 5(x + -2) + 4x = 3x + -6 Reorder the terms: 5(-2 + x) + 4x = 3x + -6 (-2 * 5 + x * 5) + 4x = 3x + -6 (-10 + 5x) + 4x = 3x + -6 Combine like terms: 5x + 4x = 9x -10 + 9x = 3x + -6 Reorder the terms: -10 + 9x = -6 + 3x Solving -10 + 9x = -6 + 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. -10 + 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x -10 + 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 6x = -6 + 0 -10 + 6x = -6 Add '10' to each side of the equation. -10 + 10 + 6x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -6 + 10 6x = -6 + 10 Combine like terms: -6 + 10 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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