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Simplifying 3x + -1(7 + -2x) = 6 + -21(1 + -2x) 3x + (7 * -1 + -2x * -1) = 6 + -21(1 + -2x) 3x + (-7 + 2x) = 6 + -21(1 + -2x) Reorder the terms: -7 + 3x + 2x = 6 + -21(1 + -2x) Combine like terms: 3x + 2x = 5x -7 + 5x = 6 + -21(1 + -2x) -7 + 5x = 6 + (1 * -21 + -2x * -21) -7 + 5x = 6 + (-21 + 42x) Combine like terms: 6 + -21 = -15 -7 + 5x = -15 + 42x Solving -7 + 5x = -15 + 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. -7 + 5x + -42x = -15 + 42x + -42x Combine like terms: 5x + -42x = -37x -7 + -37x = -15 + 42x + -42x Combine like terms: 42x + -42x = 0 -7 + -37x = -15 + 0 -7 + -37x = -15 Add '7' to each side of the equation. -7 + 7 + -37x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -37x = -15 + 7 -37x = -15 + 7 Combine like terms: -15 + 7 = -8 -37x = -8 Divide each side by '-37'. x = 0.2162162162 Simplifying x = 0.2162162162
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