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Simplifying 5(x + -1) + -3(4x + 3) = x + -14 Reorder the terms: 5(-1 + x) + -3(4x + 3) = x + -14 (-1 * 5 + x * 5) + -3(4x + 3) = x + -14 (-5 + 5x) + -3(4x + 3) = x + -14 Reorder the terms: -5 + 5x + -3(3 + 4x) = x + -14 -5 + 5x + (3 * -3 + 4x * -3) = x + -14 -5 + 5x + (-9 + -12x) = x + -14 Reorder the terms: -5 + -9 + 5x + -12x = x + -14 Combine like terms: -5 + -9 = -14 -14 + 5x + -12x = x + -14 Combine like terms: 5x + -12x = -7x -14 + -7x = x + -14 Reorder the terms: -14 + -7x = -14 + x Add '14' to each side of the equation. -14 + 14 + -7x = -14 + 14 + x Combine like terms: -14 + 14 = 0 0 + -7x = -14 + 14 + x -7x = -14 + 14 + x Combine like terms: -14 + 14 = 0 -7x = 0 + x -7x = x Solving -7x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7x + -1x = x + -1x Combine like terms: -7x + -1x = -8x -8x = x + -1x Combine like terms: x + -1x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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