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Simplifying 2 + 6x + -4(2 + x) = x + -24 2 + 6x + (2 * -4 + x * -4) = x + -24 2 + 6x + (-8 + -4x) = x + -24 Reorder the terms: 2 + -8 + 6x + -4x = x + -24 Combine like terms: 2 + -8 = -6 -6 + 6x + -4x = x + -24 Combine like terms: 6x + -4x = 2x -6 + 2x = x + -24 Reorder the terms: -6 + 2x = -24 + x Solving -6 + 2x = -24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = -24 + x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = -24 + x + -1x Combine like terms: x + -1x = 0 -6 + 1x = -24 + 0 -6 + 1x = -24 Add '6' to each side of the equation. -6 + 6 + 1x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -24 + 6 1x = -24 + 6 Combine like terms: -24 + 6 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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