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Simplifying 24 + -3x = -7(3 + -6x) 24 + -3x = (3 * -7 + -6x * -7) 24 + -3x = (-21 + 42x) Solving 24 + -3x = -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. 24 + -3x + -42x = -21 + 42x + -42x Combine like terms: -3x + -42x = -45x 24 + -45x = -21 + 42x + -42x Combine like terms: 42x + -42x = 0 24 + -45x = -21 + 0 24 + -45x = -21 Add '-24' to each side of the equation. 24 + -24 + -45x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -45x = -21 + -24 -45x = -21 + -24 Combine like terms: -21 + -24 = -45 -45x = -45 Divide each side by '-45'. x = 1 Simplifying x = 1
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