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Simplifying 2x + -9 = 7(2x + -3) Reorder the terms: -9 + 2x = 7(2x + -3) Reorder the terms: -9 + 2x = 7(-3 + 2x) -9 + 2x = (-3 * 7 + 2x * 7) -9 + 2x = (-21 + 14x) Solving -9 + 2x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -9 + 2x + -14x = -21 + 14x + -14x Combine like terms: 2x + -14x = -12x -9 + -12x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + -12x = -21 + 0 -9 + -12x = -21 Add '9' to each side of the equation. -9 + 9 + -12x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = -21 + 9 -12x = -21 + 9 Combine like terms: -21 + 9 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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