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Simplifying -3x + -1[10 + (x + 6)] = x + [-3x + (8 + -3x)] + 2 Reorder the terms: -3x + -1[10 + (6 + x)] = x + [-3x + (8 + -3x)] + 2 Remove parenthesis around (6 + x) -3x + -1[10 + 6 + x] = x + [-3x + (8 + -3x)] + 2 Combine like terms: 10 + 6 = 16 -3x + -1[16 + x] = x + [-3x + (8 + -3x)] + 2 -3x + [16 * -1 + x * -1] = x + [-3x + (8 + -3x)] + 2 -3x + [-16 + -1x] = x + [-3x + (8 + -3x)] + 2 Reorder the terms: -16 + -3x + -1x = x + [-3x + (8 + -3x)] + 2 Combine like terms: -3x + -1x = -4x -16 + -4x = x + [-3x + (8 + -3x)] + 2 Remove parenthesis around (8 + -3x) -16 + -4x = x + [-3x + 8 + -3x] + 2 Reorder the terms: -16 + -4x = x + [8 + -3x + -3x] + 2 Combine like terms: -3x + -3x = -6x -16 + -4x = x + [8 + -6x] + 2 Remove brackets around [8 + -6x] -16 + -4x = x + 8 + -6x + 2 Reorder the terms: -16 + -4x = 8 + 2 + x + -6x Combine like terms: 8 + 2 = 10 -16 + -4x = 10 + x + -6x Combine like terms: x + -6x = -5x -16 + -4x = 10 + -5x Solving -16 + -4x = 10 + -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. -16 + -4x + 5x = 10 + -5x + 5x Combine like terms: -4x + 5x = 1x -16 + 1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 1x = 10 + 0 -16 + 1x = 10 Add '16' to each side of the equation. -16 + 16 + 1x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 10 + 16 1x = 10 + 16 Combine like terms: 10 + 16 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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