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Simplifying 3 + -4(x + 2) = 2x + 7 Reorder the terms: 3 + -4(2 + x) = 2x + 7 3 + (2 * -4 + x * -4) = 2x + 7 3 + (-8 + -4x) = 2x + 7 Combine like terms: 3 + -8 = -5 -5 + -4x = 2x + 7 Reorder the terms: -5 + -4x = 7 + 2x Solving -5 + -4x = 7 + 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. -5 + -4x + -2x = 7 + 2x + -2x Combine like terms: -4x + -2x = -6x -5 + -6x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -6x = 7 + 0 -5 + -6x = 7 Add '5' to each side of the equation. -5 + 5 + -6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 7 + 5 -6x = 7 + 5 Combine like terms: 7 + 5 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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