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Simplifying 2x + -9 = 3(2x + -5) + 22 Reorder the terms: -9 + 2x = 3(2x + -5) + 22 Reorder the terms: -9 + 2x = 3(-5 + 2x) + 22 -9 + 2x = (-5 * 3 + 2x * 3) + 22 -9 + 2x = (-15 + 6x) + 22 Reorder the terms: -9 + 2x = -15 + 22 + 6x Combine like terms: -15 + 22 = 7 -9 + 2x = 7 + 6x Solving -9 + 2x = 7 + 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. -9 + 2x + -6x = 7 + 6x + -6x Combine like terms: 2x + -6x = -4x -9 + -4x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -4x = 7 + 0 -9 + -4x = 7 Add '9' to each side of the equation. -9 + 9 + -4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 7 + 9 -4x = 7 + 9 Combine like terms: 7 + 9 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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