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Simplifying 3 + 4(x + -2) = 9 + -8(x + -3) Reorder the terms: 3 + 4(-2 + x) = 9 + -8(x + -3) 3 + (-2 * 4 + x * 4) = 9 + -8(x + -3) 3 + (-8 + 4x) = 9 + -8(x + -3) Combine like terms: 3 + -8 = -5 -5 + 4x = 9 + -8(x + -3) Reorder the terms: -5 + 4x = 9 + -8(-3 + x) -5 + 4x = 9 + (-3 * -8 + x * -8) -5 + 4x = 9 + (24 + -8x) Combine like terms: 9 + 24 = 33 -5 + 4x = 33 + -8x Solving -5 + 4x = 33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + 4x + 8x = 33 + -8x + 8x Combine like terms: 4x + 8x = 12x -5 + 12x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 12x = 33 + 0 -5 + 12x = 33 Add '5' to each side of the equation. -5 + 5 + 12x = 33 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 33 + 5 12x = 33 + 5 Combine like terms: 33 + 5 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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