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Simplifying -1[6x + (4x + 3)] = 7 + -1(5x + 6) Reorder the terms: -1[6x + (3 + 4x)] = 7 + -1(5x + 6) Remove parenthesis around (3 + 4x) -1[6x + 3 + 4x] = 7 + -1(5x + 6) Reorder the terms: -1[3 + 6x + 4x] = 7 + -1(5x + 6) Combine like terms: 6x + 4x = 10x -1[3 + 10x] = 7 + -1(5x + 6) [3 * -1 + 10x * -1] = 7 + -1(5x + 6) [-3 + -10x] = 7 + -1(5x + 6) Reorder the terms: -3 + -10x = 7 + -1(6 + 5x) -3 + -10x = 7 + (6 * -1 + 5x * -1) -3 + -10x = 7 + (-6 + -5x) Combine like terms: 7 + -6 = 1 -3 + -10x = 1 + -5x Solving -3 + -10x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + -10x + 5x = 1 + -5x + 5x Combine like terms: -10x + 5x = -5x -3 + -5x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + -5x = 1 + 0 -3 + -5x = 1 Add '3' to each side of the equation. -3 + 3 + -5x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 1 + 3 -5x = 1 + 3 Combine like terms: 1 + 3 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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