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Simplifying 4 + 2(x + -9) = 9 + -6(x + -4) Reorder the terms: 4 + 2(-9 + x) = 9 + -6(x + -4) 4 + (-9 * 2 + x * 2) = 9 + -6(x + -4) 4 + (-18 + 2x) = 9 + -6(x + -4) Combine like terms: 4 + -18 = -14 -14 + 2x = 9 + -6(x + -4) Reorder the terms: -14 + 2x = 9 + -6(-4 + x) -14 + 2x = 9 + (-4 * -6 + x * -6) -14 + 2x = 9 + (24 + -6x) Combine like terms: 9 + 24 = 33 -14 + 2x = 33 + -6x Solving -14 + 2x = 33 + -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. -14 + 2x + 6x = 33 + -6x + 6x Combine like terms: 2x + 6x = 8x -14 + 8x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 8x = 33 + 0 -14 + 8x = 33 Add '14' to each side of the equation. -14 + 14 + 8x = 33 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 33 + 14 8x = 33 + 14 Combine like terms: 33 + 14 = 47 8x = 47 Divide each side by '8'. x = 5.875 Simplifying x = 5.875
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