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Simplifying 4 + 8(x + -4) = 5 + -9(x + -5) Reorder the terms: 4 + 8(-4 + x) = 5 + -9(x + -5) 4 + (-4 * 8 + x * 8) = 5 + -9(x + -5) 4 + (-32 + 8x) = 5 + -9(x + -5) Combine like terms: 4 + -32 = -28 -28 + 8x = 5 + -9(x + -5) Reorder the terms: -28 + 8x = 5 + -9(-5 + x) -28 + 8x = 5 + (-5 * -9 + x * -9) -28 + 8x = 5 + (45 + -9x) Combine like terms: 5 + 45 = 50 -28 + 8x = 50 + -9x Solving -28 + 8x = 50 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -28 + 8x + 9x = 50 + -9x + 9x Combine like terms: 8x + 9x = 17x -28 + 17x = 50 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + 17x = 50 + 0 -28 + 17x = 50 Add '28' to each side of the equation. -28 + 28 + 17x = 50 + 28 Combine like terms: -28 + 28 = 0 0 + 17x = 50 + 28 17x = 50 + 28 Combine like terms: 50 + 28 = 78 17x = 78 Divide each side by '17'. x = 4.588235294 Simplifying x = 4.588235294
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