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