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Simplifying 8 + 4(x + -3) = 9 + -5(x + -4) Reorder the terms: 8 + 4(-3 + x) = 9 + -5(x + -4) 8 + (-3 * 4 + x * 4) = 9 + -5(x + -4) 8 + (-12 + 4x) = 9 + -5(x + -4) Combine like terms: 8 + -12 = -4 -4 + 4x = 9 + -5(x + -4) Reorder the terms: -4 + 4x = 9 + -5(-4 + x) -4 + 4x = 9 + (-4 * -5 + x * -5) -4 + 4x = 9 + (20 + -5x) Combine like terms: 9 + 20 = 29 -4 + 4x = 29 + -5x Solving -4 + 4x = 29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 4x + 5x = 29 + -5x + 5x Combine like terms: 4x + 5x = 9x -4 + 9x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 9x = 29 + 0 -4 + 9x = 29 Add '4' to each side of the equation. -4 + 4 + 9x = 29 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 29 + 4 9x = 29 + 4 Combine like terms: 29 + 4 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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