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Simplifying 7x + -3[2x + -5(x + -2) + -3] = 2(x + -1) Reorder the terms: 7x + -3[2x + -5(-2 + x) + -3] = 2(x + -1) 7x + -3[2x + (-2 * -5 + x * -5) + -3] = 2(x + -1) 7x + -3[2x + (10 + -5x) + -3] = 2(x + -1) Reorder the terms: 7x + -3[10 + -3 + 2x + -5x] = 2(x + -1) Combine like terms: 10 + -3 = 7 7x + -3[7 + 2x + -5x] = 2(x + -1) Combine like terms: 2x + -5x = -3x 7x + -3[7 + -3x] = 2(x + -1) 7x + [7 * -3 + -3x * -3] = 2(x + -1) 7x + [-21 + 9x] = 2(x + -1) Reorder the terms: -21 + 7x + 9x = 2(x + -1) Combine like terms: 7x + 9x = 16x -21 + 16x = 2(x + -1) Reorder the terms: -21 + 16x = 2(-1 + x) -21 + 16x = (-1 * 2 + x * 2) -21 + 16x = (-2 + 2x) Solving -21 + 16x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 16x + -2x = -2 + 2x + -2x Combine like terms: 16x + -2x = 14x -21 + 14x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 14x = -2 + 0 -21 + 14x = -2 Add '21' to each side of the equation. -21 + 21 + 14x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 14x = -2 + 21 14x = -2 + 21 Combine like terms: -2 + 21 = 19 14x = 19 Divide each side by '14'. x = 1.357142857 Simplifying x = 1.357142857
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