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Simplifying -1[6x + (4x + 7)] = 5 + -1(6x + 1) Reorder the terms: -1[6x + (7 + 4x)] = 5 + -1(6x + 1) Remove parenthesis around (7 + 4x) -1[6x + 7 + 4x] = 5 + -1(6x + 1) Reorder the terms: -1[7 + 6x + 4x] = 5 + -1(6x + 1) Combine like terms: 6x + 4x = 10x -1[7 + 10x] = 5 + -1(6x + 1) [7 * -1 + 10x * -1] = 5 + -1(6x + 1) [-7 + -10x] = 5 + -1(6x + 1) Reorder the terms: -7 + -10x = 5 + -1(1 + 6x) -7 + -10x = 5 + (1 * -1 + 6x * -1) -7 + -10x = 5 + (-1 + -6x) Combine like terms: 5 + -1 = 4 -7 + -10x = 4 + -6x Solving -7 + -10x = 4 + -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. -7 + -10x + 6x = 4 + -6x + 6x Combine like terms: -10x + 6x = -4x -7 + -4x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + -4x = 4 + 0 -7 + -4x = 4 Add '7' to each side of the equation. -7 + 7 + -4x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 4 + 7 -4x = 4 + 7 Combine like terms: 4 + 7 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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