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Simplifying 7x + -8 = -3(x + 7) + -27 Reorder the terms: -8 + 7x = -3(x + 7) + -27 Reorder the terms: -8 + 7x = -3(7 + x) + -27 -8 + 7x = (7 * -3 + x * -3) + -27 -8 + 7x = (-21 + -3x) + -27 Reorder the terms: -8 + 7x = -21 + -27 + -3x Combine like terms: -21 + -27 = -48 -8 + 7x = -48 + -3x Solving -8 + 7x = -48 + -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. -8 + 7x + 3x = -48 + -3x + 3x Combine like terms: 7x + 3x = 10x -8 + 10x = -48 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 10x = -48 + 0 -8 + 10x = -48 Add '8' to each side of the equation. -8 + 8 + 10x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -48 + 8 10x = -48 + 8 Combine like terms: -48 + 8 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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