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Simplifying -1[6x + (4x + 5)] = 7 + -1(3x + 7) Reorder the terms: -1[6x + (5 + 4x)] = 7 + -1(3x + 7) Remove parenthesis around (5 + 4x) -1[6x + 5 + 4x] = 7 + -1(3x + 7) Reorder the terms: -1[5 + 6x + 4x] = 7 + -1(3x + 7) Combine like terms: 6x + 4x = 10x -1[5 + 10x] = 7 + -1(3x + 7) [5 * -1 + 10x * -1] = 7 + -1(3x + 7) [-5 + -10x] = 7 + -1(3x + 7) Reorder the terms: -5 + -10x = 7 + -1(7 + 3x) -5 + -10x = 7 + (7 * -1 + 3x * -1) -5 + -10x = 7 + (-7 + -3x) Combine like terms: 7 + -7 = 0 -5 + -10x = 0 + -3x -5 + -10x = -3x Solving -5 + -10x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -10x + 3x = -3x + 3x Combine like terms: -10x + 3x = -7x -5 + -7x = -3x + 3x Combine like terms: -3x + 3x = 0 -5 + -7x = 0 Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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