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Simplifying -5(x + 2) + 2x + 6 = 5x + 9 Reorder the terms: -5(2 + x) + 2x + 6 = 5x + 9 (2 * -5 + x * -5) + 2x + 6 = 5x + 9 (-10 + -5x) + 2x + 6 = 5x + 9 Reorder the terms: -10 + 6 + -5x + 2x = 5x + 9 Combine like terms: -10 + 6 = -4 -4 + -5x + 2x = 5x + 9 Combine like terms: -5x + 2x = -3x -4 + -3x = 5x + 9 Reorder the terms: -4 + -3x = 9 + 5x Solving -4 + -3x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + -3x + -5x = 9 + 5x + -5x Combine like terms: -3x + -5x = -8x -4 + -8x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -8x = 9 + 0 -4 + -8x = 9 Add '4' to each side of the equation. -4 + 4 + -8x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 9 + 4 -8x = 9 + 4 Combine like terms: 9 + 4 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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