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Simplifying 10 = (42(10 + -1x)) + (42(10 + X)) 10 = ((10 * 42 + -1x * 42)) + (42(10 + X)) 10 = ((420 + -42x)) + (42(10 + X)) 10 = (420 + -42x) + (42(10 + X)) Remove parenthesis around (420 + -42x) 10 = 420 + -42x + (42(10 + X)) 10 = 420 + -42x + ((10 * 42 + X * 42)) 10 = 420 + -42x + ((420 + 42X)) 10 = 420 + -42x + (420 + 42X) Remove parenthesis around (420 + 42X) 10 = 420 + -42x + 420 + 42X Reorder the terms: 10 = 420 + 420 + 42X + -42x Combine like terms: 420 + 420 = 840 10 = 840 + 42X + -42x Solving 10 = 840 + 42X + -42x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-42X' to each side of the equation. 10 + -42X = 840 + 42X + -42X + -42x Combine like terms: 42X + -42X = 0 10 + -42X = 840 + 0 + -42x 10 + -42X = 840 + -42x Add '-10' to each side of the equation. 10 + -10 + -42X = 840 + -10 + -42x Combine like terms: 10 + -10 = 0 0 + -42X = 840 + -10 + -42x -42X = 840 + -10 + -42x Combine like terms: 840 + -10 = 830 -42X = 830 + -42x Divide each side by '-42'. X = -19.76190476 + x Simplifying X = -19.76190476 + x
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