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Simplifying 4x + -6(x + 3) = -24 + -4x Reorder the terms: 4x + -6(3 + x) = -24 + -4x 4x + (3 * -6 + x * -6) = -24 + -4x 4x + (-18 + -6x) = -24 + -4x Reorder the terms: -18 + 4x + -6x = -24 + -4x Combine like terms: 4x + -6x = -2x -18 + -2x = -24 + -4x Solving -18 + -2x = -24 + -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. -18 + -2x + 4x = -24 + -4x + 4x Combine like terms: -2x + 4x = 2x -18 + 2x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 2x = -24 + 0 -18 + 2x = -24 Add '18' to each side of the equation. -18 + 18 + 2x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -24 + 18 2x = -24 + 18 Combine like terms: -24 + 18 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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