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Simplifying 3[7 + -1(-2x + -4)] = 42x + 105 Reorder the terms: 3[7 + -1(-4 + -2x)] = 42x + 105 3[7 + (-4 * -1 + -2x * -1)] = 42x + 105 3[7 + (4 + 2x)] = 42x + 105 Combine like terms: 7 + 4 = 11 3[11 + 2x] = 42x + 105 [11 * 3 + 2x * 3] = 42x + 105 [33 + 6x] = 42x + 105 Reorder the terms: 33 + 6x = 105 + 42x Solving 33 + 6x = 105 + 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. 33 + 6x + -42x = 105 + 42x + -42x Combine like terms: 6x + -42x = -36x 33 + -36x = 105 + 42x + -42x Combine like terms: 42x + -42x = 0 33 + -36x = 105 + 0 33 + -36x = 105 Add '-33' to each side of the equation. 33 + -33 + -36x = 105 + -33 Combine like terms: 33 + -33 = 0 0 + -36x = 105 + -33 -36x = 105 + -33 Combine like terms: 105 + -33 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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