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Simplifying 3 + -5(6 + -7x) = 3(8x + -11) + -4(9x + -25) 3 + (6 * -5 + -7x * -5) = 3(8x + -11) + -4(9x + -25) 3 + (-30 + 35x) = 3(8x + -11) + -4(9x + -25) Combine like terms: 3 + -30 = -27 -27 + 35x = 3(8x + -11) + -4(9x + -25) Reorder the terms: -27 + 35x = 3(-11 + 8x) + -4(9x + -25) -27 + 35x = (-11 * 3 + 8x * 3) + -4(9x + -25) -27 + 35x = (-33 + 24x) + -4(9x + -25) Reorder the terms: -27 + 35x = -33 + 24x + -4(-25 + 9x) -27 + 35x = -33 + 24x + (-25 * -4 + 9x * -4) -27 + 35x = -33 + 24x + (100 + -36x) Reorder the terms: -27 + 35x = -33 + 100 + 24x + -36x Combine like terms: -33 + 100 = 67 -27 + 35x = 67 + 24x + -36x Combine like terms: 24x + -36x = -12x -27 + 35x = 67 + -12x Solving -27 + 35x = 67 + -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. -27 + 35x + 12x = 67 + -12x + 12x Combine like terms: 35x + 12x = 47x -27 + 47x = 67 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + 47x = 67 + 0 -27 + 47x = 67 Add '27' to each side of the equation. -27 + 27 + 47x = 67 + 27 Combine like terms: -27 + 27 = 0 0 + 47x = 67 + 27 47x = 67 + 27 Combine like terms: 67 + 27 = 94 47x = 94 Divide each side by '47'. x = 2 Simplifying x = 2
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