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Simplifying 5 + 8(x + -2) = 4 + -8(x + -4) Reorder the terms: 5 + 8(-2 + x) = 4 + -8(x + -4) 5 + (-2 * 8 + x * 8) = 4 + -8(x + -4) 5 + (-16 + 8x) = 4 + -8(x + -4) Combine like terms: 5 + -16 = -11 -11 + 8x = 4 + -8(x + -4) Reorder the terms: -11 + 8x = 4 + -8(-4 + x) -11 + 8x = 4 + (-4 * -8 + x * -8) -11 + 8x = 4 + (32 + -8x) Combine like terms: 4 + 32 = 36 -11 + 8x = 36 + -8x Solving -11 + 8x = 36 + -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. -11 + 8x + 8x = 36 + -8x + 8x Combine like terms: 8x + 8x = 16x -11 + 16x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 16x = 36 + 0 -11 + 16x = 36 Add '11' to each side of the equation. -11 + 11 + 16x = 36 + 11 Combine like terms: -11 + 11 = 0 0 + 16x = 36 + 11 16x = 36 + 11 Combine like terms: 36 + 11 = 47 16x = 47 Divide each side by '16'. x = 2.9375 Simplifying x = 2.9375
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