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Simplifying -1[4x + (6x + 5)] = 1 + -1(5x + 8) Reorder the terms: -1[4x + (5 + 6x)] = 1 + -1(5x + 8) Remove parenthesis around (5 + 6x) -1[4x + 5 + 6x] = 1 + -1(5x + 8) Reorder the terms: -1[5 + 4x + 6x] = 1 + -1(5x + 8) Combine like terms: 4x + 6x = 10x -1[5 + 10x] = 1 + -1(5x + 8) [5 * -1 + 10x * -1] = 1 + -1(5x + 8) [-5 + -10x] = 1 + -1(5x + 8) Reorder the terms: -5 + -10x = 1 + -1(8 + 5x) -5 + -10x = 1 + (8 * -1 + 5x * -1) -5 + -10x = 1 + (-8 + -5x) Combine like terms: 1 + -8 = -7 -5 + -10x = -7 + -5x Solving -5 + -10x = -7 + -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. -5 + -10x + 5x = -7 + -5x + 5x Combine like terms: -10x + 5x = -5x -5 + -5x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + -5x = -7 + 0 -5 + -5x = -7 Add '5' to each side of the equation. -5 + 5 + -5x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -7 + 5 -5x = -7 + 5 Combine like terms: -7 + 5 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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