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Simplifying -6(x + 3) = 4x + -6 + 2(2x + 3) Reorder the terms: -6(3 + x) = 4x + -6 + 2(2x + 3) (3 * -6 + x * -6) = 4x + -6 + 2(2x + 3) (-18 + -6x) = 4x + -6 + 2(2x + 3) Reorder the terms: -18 + -6x = 4x + -6 + 2(3 + 2x) -18 + -6x = 4x + -6 + (3 * 2 + 2x * 2) -18 + -6x = 4x + -6 + (6 + 4x) Reorder the terms: -18 + -6x = -6 + 6 + 4x + 4x Combine like terms: -6 + 6 = 0 -18 + -6x = 0 + 4x + 4x -18 + -6x = 4x + 4x Combine like terms: 4x + 4x = 8x -18 + -6x = 8x Solving -18 + -6x = 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. -18 + -6x + -8x = 8x + -8x Combine like terms: -6x + -8x = -14x -18 + -14x = 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -14x = 0 Add '18' to each side of the equation. -18 + 18 + -14x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -14x = 0 + 18 -14x = 0 + 18 Combine like terms: 0 + 18 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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