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Simplifying -1(7 + 21x) + (5 + 4x) = 7 (7 * -1 + 21x * -1) + (5 + 4x) = 7 (-7 + -21x) + (5 + 4x) = 7 Remove parenthesis around (5 + 4x) -7 + -21x + 5 + 4x = 7 Reorder the terms: -7 + 5 + -21x + 4x = 7 Combine like terms: -7 + 5 = -2 -2 + -21x + 4x = 7 Combine like terms: -21x + 4x = -17x -2 + -17x = 7 Solving -2 + -17x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -17x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = 7 + 2 -17x = 7 + 2 Combine like terms: 7 + 2 = 9 -17x = 9 Divide each side by '-17'. x = -0.5294117647 Simplifying x = -0.5294117647
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