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Simplifying 4(x + -1) + -1(x + 5) = x + -7 Reorder the terms: 4(-1 + x) + -1(x + 5) = x + -7 (-1 * 4 + x * 4) + -1(x + 5) = x + -7 (-4 + 4x) + -1(x + 5) = x + -7 Reorder the terms: -4 + 4x + -1(5 + x) = x + -7 -4 + 4x + (5 * -1 + x * -1) = x + -7 -4 + 4x + (-5 + -1x) = x + -7 Reorder the terms: -4 + -5 + 4x + -1x = x + -7 Combine like terms: -4 + -5 = -9 -9 + 4x + -1x = x + -7 Combine like terms: 4x + -1x = 3x -9 + 3x = x + -7 Reorder the terms: -9 + 3x = -7 + x Solving -9 + 3x = -7 + 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. -9 + 3x + -1x = -7 + x + -1x Combine like terms: 3x + -1x = 2x -9 + 2x = -7 + x + -1x Combine like terms: x + -1x = 0 -9 + 2x = -7 + 0 -9 + 2x = -7 Add '9' to each side of the equation. -9 + 9 + 2x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -7 + 9 2x = -7 + 9 Combine like terms: -7 + 9 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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