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Simplifying 6[5 + -1(5x + -1)] = 270x + 84 Reorder the terms: 6[5 + -1(-1 + 5x)] = 270x + 84 6[5 + (-1 * -1 + 5x * -1)] = 270x + 84 6[5 + (1 + -5x)] = 270x + 84 Combine like terms: 5 + 1 = 6 6[6 + -5x] = 270x + 84 [6 * 6 + -5x * 6] = 270x + 84 [36 + -30x] = 270x + 84 Reorder the terms: 36 + -30x = 84 + 270x Solving 36 + -30x = 84 + 270x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270x' to each side of the equation. 36 + -30x + -270x = 84 + 270x + -270x Combine like terms: -30x + -270x = -300x 36 + -300x = 84 + 270x + -270x Combine like terms: 270x + -270x = 0 36 + -300x = 84 + 0 36 + -300x = 84 Add '-36' to each side of the equation. 36 + -36 + -300x = 84 + -36 Combine like terms: 36 + -36 = 0 0 + -300x = 84 + -36 -300x = 84 + -36 Combine like terms: 84 + -36 = 48 -300x = 48 Divide each side by '-300'. x = -0.16 Simplifying x = -0.16
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