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Simplifying 7(3 + -5x) + -7x = -2x + -4(-3x + -8x) (3 * 7 + -5x * 7) + -7x = -2x + -4(-3x + -8x) (21 + -35x) + -7x = -2x + -4(-3x + -8x) Combine like terms: -35x + -7x = -42x 21 + -42x = -2x + -4(-3x + -8x) Combine like terms: -3x + -8x = -11x 21 + -42x = -2x + -4(-11x) Remove parenthesis around (-11x) 21 + -42x = -2x + -4 * -11x Multiply -4 * -11 21 + -42x = -2x + 44x Combine like terms: -2x + 44x = 42x 21 + -42x = 42x Solving 21 + -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. 21 + -42x + -42x = 42x + -42x Combine like terms: -42x + -42x = -84x 21 + -84x = 42x + -42x Combine like terms: 42x + -42x = 0 21 + -84x = 0 Add '-21' to each side of the equation. 21 + -21 + -84x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -84x = 0 + -21 -84x = 0 + -21 Combine like terms: 0 + -21 = -21 -84x = -21 Divide each side by '-84'. x = 0.25 Simplifying x = 0.25
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