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Simplifying 7(x + 3) + -9 = 2(x + -4) Reorder the terms: 7(3 + x) + -9 = 2(x + -4) (3 * 7 + x * 7) + -9 = 2(x + -4) (21 + 7x) + -9 = 2(x + -4) Reorder the terms: 21 + -9 + 7x = 2(x + -4) Combine like terms: 21 + -9 = 12 12 + 7x = 2(x + -4) Reorder the terms: 12 + 7x = 2(-4 + x) 12 + 7x = (-4 * 2 + x * 2) 12 + 7x = (-8 + 2x) Solving 12 + 7x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 7x + -2x = -8 + 2x + -2x Combine like terms: 7x + -2x = 5x 12 + 5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 5x = -8 + 0 12 + 5x = -8 Add '-12' to each side of the equation. 12 + -12 + 5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -8 + -12 5x = -8 + -12 Combine like terms: -8 + -12 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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