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Simplifying 6x + 4[x + -1] = -6x + -1[x + 1] Reorder the terms: 6x + 4[-1 + x] = -6x + -1[x + 1] 6x + [-1 * 4 + x * 4] = -6x + -1[x + 1] 6x + [-4 + 4x] = -6x + -1[x + 1] Reorder the terms: -4 + 6x + 4x = -6x + -1[x + 1] Combine like terms: 6x + 4x = 10x -4 + 10x = -6x + -1[x + 1] Reorder the terms: -4 + 10x = -6x + -1[1 + x] -4 + 10x = -6x + [1 * -1 + x * -1] -4 + 10x = -6x + [-1 + -1x] Reorder the terms: -4 + 10x = -1 + -6x + -1x Combine like terms: -6x + -1x = -7x -4 + 10x = -1 + -7x Solving -4 + 10x = -1 + -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. -4 + 10x + 7x = -1 + -7x + 7x Combine like terms: 10x + 7x = 17x -4 + 17x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 17x = -1 + 0 -4 + 17x = -1 Add '4' to each side of the equation. -4 + 4 + 17x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 17x = -1 + 4 17x = -1 + 4 Combine like terms: -1 + 4 = 3 17x = 3 Divide each side by '17'. x = 0.1764705882 Simplifying x = 0.1764705882
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