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Simplifying 3 + -1(4x + -21) = 7(x + -3) Reorder the terms: 3 + -1(-21 + 4x) = 7(x + -3) 3 + (-21 * -1 + 4x * -1) = 7(x + -3) 3 + (21 + -4x) = 7(x + -3) Combine like terms: 3 + 21 = 24 24 + -4x = 7(x + -3) Reorder the terms: 24 + -4x = 7(-3 + x) 24 + -4x = (-3 * 7 + x * 7) 24 + -4x = (-21 + 7x) Solving 24 + -4x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + -4x + -7x = -21 + 7x + -7x Combine like terms: -4x + -7x = -11x 24 + -11x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -11x = -21 + 0 24 + -11x = -21 Add '-24' to each side of the equation. 24 + -24 + -11x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = -21 + -24 -11x = -21 + -24 Combine like terms: -21 + -24 = -45 -11x = -45 Divide each side by '-11'. x = 4.090909091 Simplifying x = 4.090909091
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