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Simplifying 5[2(5x + -2) + -1(7x + -5)] = 2(3x + 1) Reorder the terms: 5[2(-2 + 5x) + -1(7x + -5)] = 2(3x + 1) 5[(-2 * 2 + 5x * 2) + -1(7x + -5)] = 2(3x + 1) 5[(-4 + 10x) + -1(7x + -5)] = 2(3x + 1) Reorder the terms: 5[-4 + 10x + -1(-5 + 7x)] = 2(3x + 1) 5[-4 + 10x + (-5 * -1 + 7x * -1)] = 2(3x + 1) 5[-4 + 10x + (5 + -7x)] = 2(3x + 1) Reorder the terms: 5[-4 + 5 + 10x + -7x] = 2(3x + 1) Combine like terms: -4 + 5 = 1 5[1 + 10x + -7x] = 2(3x + 1) Combine like terms: 10x + -7x = 3x 5[1 + 3x] = 2(3x + 1) [1 * 5 + 3x * 5] = 2(3x + 1) [5 + 15x] = 2(3x + 1) Reorder the terms: 5 + 15x = 2(1 + 3x) 5 + 15x = (1 * 2 + 3x * 2) 5 + 15x = (2 + 6x) Solving 5 + 15x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 15x + -6x = 2 + 6x + -6x Combine like terms: 15x + -6x = 9x 5 + 9x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 9x = 2 + 0 5 + 9x = 2 Add '-5' to each side of the equation. 5 + -5 + 9x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 2 + -5 9x = 2 + -5 Combine like terms: 2 + -5 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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