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Simplifying 6(x + 6) = -4(1 + -4x) Reorder the terms: 6(6 + x) = -4(1 + -4x) (6 * 6 + x * 6) = -4(1 + -4x) (36 + 6x) = -4(1 + -4x) 36 + 6x = (1 * -4 + -4x * -4) 36 + 6x = (-4 + 16x) Solving 36 + 6x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 36 + 6x + -16x = -4 + 16x + -16x Combine like terms: 6x + -16x = -10x 36 + -10x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 36 + -10x = -4 + 0 36 + -10x = -4 Add '-36' to each side of the equation. 36 + -36 + -10x = -4 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = -4 + -36 -10x = -4 + -36 Combine like terms: -4 + -36 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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