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Simplifying 2x + 6(x + -4) = 3x + -18 + 3x Reorder the terms: 2x + 6(-4 + x) = 3x + -18 + 3x 2x + (-4 * 6 + x * 6) = 3x + -18 + 3x 2x + (-24 + 6x) = 3x + -18 + 3x Reorder the terms: -24 + 2x + 6x = 3x + -18 + 3x Combine like terms: 2x + 6x = 8x -24 + 8x = 3x + -18 + 3x Reorder the terms: -24 + 8x = -18 + 3x + 3x Combine like terms: 3x + 3x = 6x -24 + 8x = -18 + 6x Solving -24 + 8x = -18 + 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. -24 + 8x + -6x = -18 + 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = -18 + 0 -24 + 2x = -18 Add '24' to each side of the equation. -24 + 24 + 2x = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -18 + 24 2x = -18 + 24 Combine like terms: -18 + 24 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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