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Simplifying 3(5x + -8) + -4(4x + 5) = 1 Reorder the terms: 3(-8 + 5x) + -4(4x + 5) = 1 (-8 * 3 + 5x * 3) + -4(4x + 5) = 1 (-24 + 15x) + -4(4x + 5) = 1 Reorder the terms: -24 + 15x + -4(5 + 4x) = 1 -24 + 15x + (5 * -4 + 4x * -4) = 1 -24 + 15x + (-20 + -16x) = 1 Reorder the terms: -24 + -20 + 15x + -16x = 1 Combine like terms: -24 + -20 = -44 -44 + 15x + -16x = 1 Combine like terms: 15x + -16x = -1x -44 + -1x = 1 Solving -44 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -1x = 1 + 44 Combine like terms: -44 + 44 = 0 0 + -1x = 1 + 44 -1x = 1 + 44 Combine like terms: 1 + 44 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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