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Simplifying -3(x + 1) = 5 + -1(7x + -8) Reorder the terms: -3(1 + x) = 5 + -1(7x + -8) (1 * -3 + x * -3) = 5 + -1(7x + -8) (-3 + -3x) = 5 + -1(7x + -8) Reorder the terms: -3 + -3x = 5 + -1(-8 + 7x) -3 + -3x = 5 + (-8 * -1 + 7x * -1) -3 + -3x = 5 + (8 + -7x) Combine like terms: 5 + 8 = 13 -3 + -3x = 13 + -7x Solving -3 + -3x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -3x + 7x = 13 + -7x + 7x Combine like terms: -3x + 7x = 4x -3 + 4x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 4x = 13 + 0 -3 + 4x = 13 Add '3' to each side of the equation. -3 + 3 + 4x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 13 + 3 4x = 13 + 3 Combine like terms: 13 + 3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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