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Simplifying 2x + -4(2x + 1) = 4 + 2(4x + -18) Reorder the terms: 2x + -4(1 + 2x) = 4 + 2(4x + -18) 2x + (1 * -4 + 2x * -4) = 4 + 2(4x + -18) 2x + (-4 + -8x) = 4 + 2(4x + -18) Reorder the terms: -4 + 2x + -8x = 4 + 2(4x + -18) Combine like terms: 2x + -8x = -6x -4 + -6x = 4 + 2(4x + -18) Reorder the terms: -4 + -6x = 4 + 2(-18 + 4x) -4 + -6x = 4 + (-18 * 2 + 4x * 2) -4 + -6x = 4 + (-36 + 8x) Combine like terms: 4 + -36 = -32 -4 + -6x = -32 + 8x Solving -4 + -6x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + -6x + -8x = -32 + 8x + -8x Combine like terms: -6x + -8x = -14x -4 + -14x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -14x = -32 + 0 -4 + -14x = -32 Add '4' to each side of the equation. -4 + 4 + -14x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -32 + 4 -14x = -32 + 4 Combine like terms: -32 + 4 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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