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Simplifying 4(x + -1) + -5(x + 2) = 7 Reorder the terms: 4(-1 + x) + -5(x + 2) = 7 (-1 * 4 + x * 4) + -5(x + 2) = 7 (-4 + 4x) + -5(x + 2) = 7 Reorder the terms: -4 + 4x + -5(2 + x) = 7 -4 + 4x + (2 * -5 + x * -5) = 7 -4 + 4x + (-10 + -5x) = 7 Reorder the terms: -4 + -10 + 4x + -5x = 7 Combine like terms: -4 + -10 = -14 -14 + 4x + -5x = 7 Combine like terms: 4x + -5x = -1x -14 + -1x = 7 Solving -14 + -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 7 + 14 -1x = 7 + 14 Combine like terms: 7 + 14 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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