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Simplifying 5x + -1 = 3(x + -7) + 4 Reorder the terms: -1 + 5x = 3(x + -7) + 4 Reorder the terms: -1 + 5x = 3(-7 + x) + 4 -1 + 5x = (-7 * 3 + x * 3) + 4 -1 + 5x = (-21 + 3x) + 4 Reorder the terms: -1 + 5x = -21 + 4 + 3x Combine like terms: -21 + 4 = -17 -1 + 5x = -17 + 3x Solving -1 + 5x = -17 + 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. -1 + 5x + -3x = -17 + 3x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 2x = -17 + 0 -1 + 2x = -17 Add '1' to each side of the equation. -1 + 1 + 2x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -17 + 1 2x = -17 + 1 Combine like terms: -17 + 1 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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