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Simplifying 7x + -4(12 + -6x) = 22 + -3(4x + 12) 7x + (12 * -4 + -6x * -4) = 22 + -3(4x + 12) 7x + (-48 + 24x) = 22 + -3(4x + 12) Reorder the terms: -48 + 7x + 24x = 22 + -3(4x + 12) Combine like terms: 7x + 24x = 31x -48 + 31x = 22 + -3(4x + 12) Reorder the terms: -48 + 31x = 22 + -3(12 + 4x) -48 + 31x = 22 + (12 * -3 + 4x * -3) -48 + 31x = 22 + (-36 + -12x) Combine like terms: 22 + -36 = -14 -48 + 31x = -14 + -12x Solving -48 + 31x = -14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -48 + 31x + 12x = -14 + -12x + 12x Combine like terms: 31x + 12x = 43x -48 + 43x = -14 + -12x + 12x Combine like terms: -12x + 12x = 0 -48 + 43x = -14 + 0 -48 + 43x = -14 Add '48' to each side of the equation. -48 + 48 + 43x = -14 + 48 Combine like terms: -48 + 48 = 0 0 + 43x = -14 + 48 43x = -14 + 48 Combine like terms: -14 + 48 = 34 43x = 34 Divide each side by '43'. x = 0.7906976744 Simplifying x = 0.7906976744
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