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Simplifying -7[-5x + 2 + -2(x + 1)] = -7x + 2 Reorder the terms: -7[-5x + 2 + -2(1 + x)] = -7x + 2 -7[-5x + 2 + (1 * -2 + x * -2)] = -7x + 2 -7[-5x + 2 + (-2 + -2x)] = -7x + 2 Reorder the terms: -7[2 + -2 + -5x + -2x] = -7x + 2 Combine like terms: 2 + -2 = 0 -7[0 + -5x + -2x] = -7x + 2 -7[-5x + -2x] = -7x + 2 Combine like terms: -5x + -2x = -7x -7[-7x] = -7x + 2 Remove brackets around [-7x] -7 * -7x = -7x + 2 Multiply -7 * -7 49x = -7x + 2 Reorder the terms: 49x = 2 + -7x Solving 49x = 2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 49x + 7x = 2 + -7x + 7x Combine like terms: 49x + 7x = 56x 56x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 56x = 2 + 0 56x = 2 Divide each side by '56'. x = 0.03571428571 Simplifying x = 0.03571428571
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