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Simplifying 2(x + -18) + 6(x + 2) = x + 4 Reorder the terms: 2(-18 + x) + 6(x + 2) = x + 4 (-18 * 2 + x * 2) + 6(x + 2) = x + 4 (-36 + 2x) + 6(x + 2) = x + 4 Reorder the terms: -36 + 2x + 6(2 + x) = x + 4 -36 + 2x + (2 * 6 + x * 6) = x + 4 -36 + 2x + (12 + 6x) = x + 4 Reorder the terms: -36 + 12 + 2x + 6x = x + 4 Combine like terms: -36 + 12 = -24 -24 + 2x + 6x = x + 4 Combine like terms: 2x + 6x = 8x -24 + 8x = x + 4 Reorder the terms: -24 + 8x = 4 + x Solving -24 + 8x = 4 + 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. -24 + 8x + -1x = 4 + x + -1x Combine like terms: 8x + -1x = 7x -24 + 7x = 4 + x + -1x Combine like terms: x + -1x = 0 -24 + 7x = 4 + 0 -24 + 7x = 4 Add '24' to each side of the equation. -24 + 24 + 7x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 4 + 24 7x = 4 + 24 Combine like terms: 4 + 24 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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