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Simplifying 3 + -2(x + 4) = 4x + 7 Reorder the terms: 3 + -2(4 + x) = 4x + 7 3 + (4 * -2 + x * -2) = 4x + 7 3 + (-8 + -2x) = 4x + 7 Combine like terms: 3 + -8 = -5 -5 + -2x = 4x + 7 Reorder the terms: -5 + -2x = 7 + 4x Solving -5 + -2x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -2x + -4x = 7 + 4x + -4x Combine like terms: -2x + -4x = -6x -5 + -6x = 7 + 4x + -4x Combine like terms: 4x + -4x = 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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