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Simplifying 3x + 2(x + -4) = 7(x + 2) Reorder the terms: 3x + 2(-4 + x) = 7(x + 2) 3x + (-4 * 2 + x * 2) = 7(x + 2) 3x + (-8 + 2x) = 7(x + 2) Reorder the terms: -8 + 3x + 2x = 7(x + 2) Combine like terms: 3x + 2x = 5x -8 + 5x = 7(x + 2) Reorder the terms: -8 + 5x = 7(2 + x) -8 + 5x = (2 * 7 + x * 7) -8 + 5x = (14 + 7x) Solving -8 + 5x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 5x + -7x = 14 + 7x + -7x Combine like terms: 5x + -7x = -2x -8 + -2x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -2x = 14 + 0 -8 + -2x = 14 Add '8' to each side of the equation. -8 + 8 + -2x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 14 + 8 -2x = 14 + 8 Combine like terms: 14 + 8 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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