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Simplifying 3(4x + -5) = 8(x + -4) + -14 Reorder the terms: 3(-5 + 4x) = 8(x + -4) + -14 (-5 * 3 + 4x * 3) = 8(x + -4) + -14 (-15 + 12x) = 8(x + -4) + -14 Reorder the terms: -15 + 12x = 8(-4 + x) + -14 -15 + 12x = (-4 * 8 + x * 8) + -14 -15 + 12x = (-32 + 8x) + -14 Reorder the terms: -15 + 12x = -32 + -14 + 8x Combine like terms: -32 + -14 = -46 -15 + 12x = -46 + 8x Solving -15 + 12x = -46 + 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. -15 + 12x + -8x = -46 + 8x + -8x Combine like terms: 12x + -8x = 4x -15 + 4x = -46 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 4x = -46 + 0 -15 + 4x = -46 Add '15' to each side of the equation. -15 + 15 + 4x = -46 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -46 + 15 4x = -46 + 15 Combine like terms: -46 + 15 = -31 4x = -31 Divide each side by '4'. x = -7.75 Simplifying x = -7.75
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