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Simplifying -1x + -20 = -7(6x + -3) Reorder the terms: -20 + -1x = -7(6x + -3) Reorder the terms: -20 + -1x = -7(-3 + 6x) -20 + -1x = (-3 * -7 + 6x * -7) -20 + -1x = (21 + -42x) Solving -20 + -1x = 21 + -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. -20 + -1x + 42x = 21 + -42x + 42x Combine like terms: -1x + 42x = 41x -20 + 41x = 21 + -42x + 42x Combine like terms: -42x + 42x = 0 -20 + 41x = 21 + 0 -20 + 41x = 21 Add '20' to each side of the equation. -20 + 20 + 41x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 41x = 21 + 20 41x = 21 + 20 Combine like terms: 21 + 20 = 41 41x = 41 Divide each side by '41'. x = 1 Simplifying x = 1
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