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Simplifying 2(2x + -3) = -6(x + 9) Reorder the terms: 2(-3 + 2x) = -6(x + 9) (-3 * 2 + 2x * 2) = -6(x + 9) (-6 + 4x) = -6(x + 9) Reorder the terms: -6 + 4x = -6(9 + x) -6 + 4x = (9 * -6 + x * -6) -6 + 4x = (-54 + -6x) Solving -6 + 4x = -54 + -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. -6 + 4x + 6x = -54 + -6x + 6x Combine like terms: 4x + 6x = 10x -6 + 10x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 10x = -54 + 0 -6 + 10x = -54 Add '6' to each side of the equation. -6 + 6 + 10x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -54 + 6 10x = -54 + 6 Combine like terms: -54 + 6 = -48 10x = -48 Divide each side by '10'. x = -4.8 Simplifying x = -4.8
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