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Simplifying -9(x + 2) + 2x + 5 = 6x + 10 Reorder the terms: -9(2 + x) + 2x + 5 = 6x + 10 (2 * -9 + x * -9) + 2x + 5 = 6x + 10 (-18 + -9x) + 2x + 5 = 6x + 10 Reorder the terms: -18 + 5 + -9x + 2x = 6x + 10 Combine like terms: -18 + 5 = -13 -13 + -9x + 2x = 6x + 10 Combine like terms: -9x + 2x = -7x -13 + -7x = 6x + 10 Reorder the terms: -13 + -7x = 10 + 6x Solving -13 + -7x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + -7x + -6x = 10 + 6x + -6x Combine like terms: -7x + -6x = -13x -13 + -13x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -13x = 10 + 0 -13 + -13x = 10 Add '13' to each side of the equation. -13 + 13 + -13x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 10 + 13 -13x = 10 + 13 Combine like terms: 10 + 13 = 23 -13x = 23 Divide each side by '-13'. x = -1.769230769 Simplifying x = -1.769230769
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