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Simplifying 5(x + -4) + -4(x + 1) + -14 = -31 Reorder the terms: 5(-4 + x) + -4(x + 1) + -14 = -31 (-4 * 5 + x * 5) + -4(x + 1) + -14 = -31 (-20 + 5x) + -4(x + 1) + -14 = -31 Reorder the terms: -20 + 5x + -4(1 + x) + -14 = -31 -20 + 5x + (1 * -4 + x * -4) + -14 = -31 -20 + 5x + (-4 + -4x) + -14 = -31 Reorder the terms: -20 + -4 + -14 + 5x + -4x = -31 Combine like terms: -20 + -4 = -24 -24 + -14 + 5x + -4x = -31 Combine like terms: -24 + -14 = -38 -38 + 5x + -4x = -31 Combine like terms: 5x + -4x = 1x -38 + 1x = -31 Solving -38 + 1x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 1x = -31 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -31 + 38 1x = -31 + 38 Combine like terms: -31 + 38 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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