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