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Simplifying 4x + -13 = 5 + -3(x + -1) Reorder the terms: -13 + 4x = 5 + -3(x + -1) Reorder the terms: -13 + 4x = 5 + -3(-1 + x) -13 + 4x = 5 + (-1 * -3 + x * -3) -13 + 4x = 5 + (3 + -3x) Combine like terms: 5 + 3 = 8 -13 + 4x = 8 + -3x Solving -13 + 4x = 8 + -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. -13 + 4x + 3x = 8 + -3x + 3x Combine like terms: 4x + 3x = 7x -13 + 7x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 7x = 8 + 0 -13 + 7x = 8 Add '13' to each side of the equation. -13 + 13 + 7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 8 + 13 7x = 8 + 13 Combine like terms: 8 + 13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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