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Simplifying 0 = 2[2x + -1(3x + -7)] + -5(x + -7) Reorder the terms: 0 = 2[2x + -1(-7 + 3x)] + -5(x + -7) 0 = 2[2x + (-7 * -1 + 3x * -1)] + -5(x + -7) 0 = 2[2x + (7 + -3x)] + -5(x + -7) Reorder the terms: 0 = 2[7 + 2x + -3x] + -5(x + -7) Combine like terms: 2x + -3x = -1x 0 = 2[7 + -1x] + -5(x + -7) 0 = [7 * 2 + -1x * 2] + -5(x + -7) 0 = [14 + -2x] + -5(x + -7) Reorder the terms: 0 = 14 + -2x + -5(-7 + x) 0 = 14 + -2x + (-7 * -5 + x * -5) 0 = 14 + -2x + (35 + -5x) Reorder the terms: 0 = 14 + 35 + -2x + -5x Combine like terms: 14 + 35 = 49 0 = 49 + -2x + -5x Combine like terms: -2x + -5x = -7x 0 = 49 + -7x Solving 0 = 49 + -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. 0 + 7x = 49 + -7x + 7x Remove the zero: 7x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 7x = 49 + 0 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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