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Simplifying 8(x + -4) = -4(x + 3) + 49 Reorder the terms: 8(-4 + x) = -4(x + 3) + 49 (-4 * 8 + x * 8) = -4(x + 3) + 49 (-32 + 8x) = -4(x + 3) + 49 Reorder the terms: -32 + 8x = -4(3 + x) + 49 -32 + 8x = (3 * -4 + x * -4) + 49 -32 + 8x = (-12 + -4x) + 49 Reorder the terms: -32 + 8x = -12 + 49 + -4x Combine like terms: -12 + 49 = 37 -32 + 8x = 37 + -4x Solving -32 + 8x = 37 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -32 + 8x + 4x = 37 + -4x + 4x Combine like terms: 8x + 4x = 12x -32 + 12x = 37 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 12x = 37 + 0 -32 + 12x = 37 Add '32' to each side of the equation. -32 + 32 + 12x = 37 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 37 + 32 12x = 37 + 32 Combine like terms: 37 + 32 = 69 12x = 69 Divide each side by '12'. x = 5.75 Simplifying x = 5.75
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