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Simplifying 4(x + 1) + -13 = 5x + -1(51 + 8x) Reorder the terms: 4(1 + x) + -13 = 5x + -1(51 + 8x) (1 * 4 + x * 4) + -13 = 5x + -1(51 + 8x) (4 + 4x) + -13 = 5x + -1(51 + 8x) Reorder the terms: 4 + -13 + 4x = 5x + -1(51 + 8x) Combine like terms: 4 + -13 = -9 -9 + 4x = 5x + -1(51 + 8x) -9 + 4x = 5x + (51 * -1 + 8x * -1) -9 + 4x = 5x + (-51 + -8x) Reorder the terms: -9 + 4x = -51 + 5x + -8x Combine like terms: 5x + -8x = -3x -9 + 4x = -51 + -3x Solving -9 + 4x = -51 + -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. -9 + 4x + 3x = -51 + -3x + 3x Combine like terms: 4x + 3x = 7x -9 + 7x = -51 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 7x = -51 + 0 -9 + 7x = -51 Add '9' to each side of the equation. -9 + 9 + 7x = -51 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = -51 + 9 7x = -51 + 9 Combine like terms: -51 + 9 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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