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Simplifying -1(6x + 4) = 4(x + 9) Reorder the terms: -1(4 + 6x) = 4(x + 9) (4 * -1 + 6x * -1) = 4(x + 9) (-4 + -6x) = 4(x + 9) Reorder the terms: -4 + -6x = 4(9 + x) -4 + -6x = (9 * 4 + x * 4) -4 + -6x = (36 + 4x) Solving -4 + -6x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -6x + -4x = 36 + 4x + -4x Combine like terms: -6x + -4x = -10x -4 + -10x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -10x = 36 + 0 -4 + -10x = 36 Add '4' to each side of the equation. -4 + 4 + -10x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 36 + 4 -10x = 36 + 4 Combine like terms: 36 + 4 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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