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Simplifying 40 + -21(3x + 5) + -12(3 + -5x) + 8 = 0 Reorder the terms: 40 + -21(5 + 3x) + -12(3 + -5x) + 8 = 0 40 + (5 * -21 + 3x * -21) + -12(3 + -5x) + 8 = 0 40 + (-105 + -63x) + -12(3 + -5x) + 8 = 0 40 + -105 + -63x + (3 * -12 + -5x * -12) + 8 = 0 40 + -105 + -63x + (-36 + 60x) + 8 = 0 Reorder the terms: 40 + -105 + -36 + 8 + -63x + 60x = 0 Combine like terms: 40 + -105 = -65 -65 + -36 + 8 + -63x + 60x = 0 Combine like terms: -65 + -36 = -101 -101 + 8 + -63x + 60x = 0 Combine like terms: -101 + 8 = -93 -93 + -63x + 60x = 0 Combine like terms: -63x + 60x = -3x -93 + -3x = 0 Solving -93 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '93' to each side of the equation. -93 + 93 + -3x = 0 + 93 Combine like terms: -93 + 93 = 0 0 + -3x = 0 + 93 -3x = 0 + 93 Combine like terms: 0 + 93 = 93 -3x = 93 Divide each side by '-3'. x = -31 Simplifying x = -31
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