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Simplifying 4x + -7 = 8 + -1(5x + -3) Reorder the terms: -7 + 4x = 8 + -1(5x + -3) Reorder the terms: -7 + 4x = 8 + -1(-3 + 5x) -7 + 4x = 8 + (-3 * -1 + 5x * -1) -7 + 4x = 8 + (3 + -5x) Combine like terms: 8 + 3 = 11 -7 + 4x = 11 + -5x Solving -7 + 4x = 11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 4x + 5x = 11 + -5x + 5x Combine like terms: 4x + 5x = 9x -7 + 9x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 9x = 11 + 0 -7 + 9x = 11 Add '7' to each side of the equation. -7 + 7 + 9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 11 + 7 9x = 11 + 7 Combine like terms: 11 + 7 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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