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Simplifying 2 + -4(x + 2) = 2(3x + 7) Reorder the terms: 2 + -4(2 + x) = 2(3x + 7) 2 + (2 * -4 + x * -4) = 2(3x + 7) 2 + (-8 + -4x) = 2(3x + 7) Combine like terms: 2 + -8 = -6 -6 + -4x = 2(3x + 7) Reorder the terms: -6 + -4x = 2(7 + 3x) -6 + -4x = (7 * 2 + 3x * 2) -6 + -4x = (14 + 6x) Solving -6 + -4x = 14 + 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. -6 + -4x + -6x = 14 + 6x + -6x Combine like terms: -4x + -6x = -10x -6 + -10x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -10x = 14 + 0 -6 + -10x = 14 Add '6' to each side of the equation. -6 + 6 + -10x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 14 + 6 -10x = 14 + 6 Combine like terms: 14 + 6 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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