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Simplifying 5x + -7(x + 8) = -6 + 7(1 + -3x) Reorder the terms: 5x + -7(8 + x) = -6 + 7(1 + -3x) 5x + (8 * -7 + x * -7) = -6 + 7(1 + -3x) 5x + (-56 + -7x) = -6 + 7(1 + -3x) Reorder the terms: -56 + 5x + -7x = -6 + 7(1 + -3x) Combine like terms: 5x + -7x = -2x -56 + -2x = -6 + 7(1 + -3x) -56 + -2x = -6 + (1 * 7 + -3x * 7) -56 + -2x = -6 + (7 + -21x) Combine like terms: -6 + 7 = 1 -56 + -2x = 1 + -21x Solving -56 + -2x = 1 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -56 + -2x + 21x = 1 + -21x + 21x Combine like terms: -2x + 21x = 19x -56 + 19x = 1 + -21x + 21x Combine like terms: -21x + 21x = 0 -56 + 19x = 1 + 0 -56 + 19x = 1 Add '56' to each side of the equation. -56 + 56 + 19x = 1 + 56 Combine like terms: -56 + 56 = 0 0 + 19x = 1 + 56 19x = 1 + 56 Combine like terms: 1 + 56 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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