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Simplifying 100 + [-8x + -1(20 + 4x)] = 60 + -1[6x + (50 + -4x)] + 10 100 + [-8x + (20 * -1 + 4x * -1)] = 60 + -1[6x + (50 + -4x)] + 10 100 + [-8x + (-20 + -4x)] = 60 + -1[6x + (50 + -4x)] + 10 Reorder the terms: 100 + [-20 + -8x + -4x] = 60 + -1[6x + (50 + -4x)] + 10 Combine like terms: -8x + -4x = -12x 100 + [-20 + -12x] = 60 + -1[6x + (50 + -4x)] + 10 Remove brackets around [-20 + -12x] 100 + -20 + -12x = 60 + -1[6x + (50 + -4x)] + 10 Combine like terms: 100 + -20 = 80 80 + -12x = 60 + -1[6x + (50 + -4x)] + 10 Remove parenthesis around (50 + -4x) 80 + -12x = 60 + -1[6x + 50 + -4x] + 10 Reorder the terms: 80 + -12x = 60 + -1[50 + 6x + -4x] + 10 Combine like terms: 6x + -4x = 2x 80 + -12x = 60 + -1[50 + 2x] + 10 80 + -12x = 60 + [50 * -1 + 2x * -1] + 10 80 + -12x = 60 + [-50 + -2x] + 10 Reorder the terms: 80 + -12x = 60 + -50 + 10 + -2x Combine like terms: 60 + -50 = 10 80 + -12x = 10 + 10 + -2x Combine like terms: 10 + 10 = 20 80 + -12x = 20 + -2x Solving 80 + -12x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 80 + -12x + 2x = 20 + -2x + 2x Combine like terms: -12x + 2x = -10x 80 + -10x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 80 + -10x = 20 + 0 80 + -10x = 20 Add '-80' to each side of the equation. 80 + -80 + -10x = 20 + -80 Combine like terms: 80 + -80 = 0 0 + -10x = 20 + -80 -10x = 20 + -80 Combine like terms: 20 + -80 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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