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Simplifying 2 + -4(x + 4) = 6x + -24 Reorder the terms: 2 + -4(4 + x) = 6x + -24 2 + (4 * -4 + x * -4) = 6x + -24 2 + (-16 + -4x) = 6x + -24 Combine like terms: 2 + -16 = -14 -14 + -4x = 6x + -24 Reorder the terms: -14 + -4x = -24 + 6x Solving -14 + -4x = -24 + 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. -14 + -4x + -6x = -24 + 6x + -6x Combine like terms: -4x + -6x = -10x -14 + -10x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -10x = -24 + 0 -14 + -10x = -24 Add '14' to each side of the equation. -14 + 14 + -10x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = -24 + 14 -10x = -24 + 14 Combine like terms: -24 + 14 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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