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Simplifying 3 + -4(3x + 8) + 8 + 5(2x + -3) = 0 Reorder the terms: 3 + -4(8 + 3x) + 8 + 5(2x + -3) = 0 3 + (8 * -4 + 3x * -4) + 8 + 5(2x + -3) = 0 3 + (-32 + -12x) + 8 + 5(2x + -3) = 0 Reorder the terms: 3 + -32 + -12x + 8 + 5(-3 + 2x) = 0 3 + -32 + -12x + 8 + (-3 * 5 + 2x * 5) = 0 3 + -32 + -12x + 8 + (-15 + 10x) = 0 Reorder the terms: 3 + -32 + 8 + -15 + -12x + 10x = 0 Combine like terms: 3 + -32 = -29 -29 + 8 + -15 + -12x + 10x = 0 Combine like terms: -29 + 8 = -21 -21 + -15 + -12x + 10x = 0 Combine like terms: -21 + -15 = -36 -36 + -12x + 10x = 0 Combine like terms: -12x + 10x = -2x -36 + -2x = 0 Solving -36 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -2x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = 0 + 36 -2x = 0 + 36 Combine like terms: 0 + 36 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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