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Simplifying 4(x + -2) + -5(x + 1) = 1 Reorder the terms: 4(-2 + x) + -5(x + 1) = 1 (-2 * 4 + x * 4) + -5(x + 1) = 1 (-8 + 4x) + -5(x + 1) = 1 Reorder the terms: -8 + 4x + -5(1 + x) = 1 -8 + 4x + (1 * -5 + x * -5) = 1 -8 + 4x + (-5 + -5x) = 1 Reorder the terms: -8 + -5 + 4x + -5x = 1 Combine like terms: -8 + -5 = -13 -13 + 4x + -5x = 1 Combine like terms: 4x + -5x = -1x -13 + -1x = 1 Solving -13 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 1 + 13 -1x = 1 + 13 Combine like terms: 1 + 13 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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