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Simplifying 3[5 + -1(-5x + -1)] = 135x + 42 Reorder the terms: 3[5 + -1(-1 + -5x)] = 135x + 42 3[5 + (-1 * -1 + -5x * -1)] = 135x + 42 3[5 + (1 + 5x)] = 135x + 42 Combine like terms: 5 + 1 = 6 3[6 + 5x] = 135x + 42 [6 * 3 + 5x * 3] = 135x + 42 [18 + 15x] = 135x + 42 Reorder the terms: 18 + 15x = 42 + 135x Solving 18 + 15x = 42 + 135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-135x' to each side of the equation. 18 + 15x + -135x = 42 + 135x + -135x Combine like terms: 15x + -135x = -120x 18 + -120x = 42 + 135x + -135x Combine like terms: 135x + -135x = 0 18 + -120x = 42 + 0 18 + -120x = 42 Add '-18' to each side of the equation. 18 + -18 + -120x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -120x = 42 + -18 -120x = 42 + -18 Combine like terms: 42 + -18 = 24 -120x = 24 Divide each side by '-120'. x = -0.2 Simplifying x = -0.2
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