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Simplifying 8 + -7(x + 2) = -1 + -3(x + 3) Reorder the terms: 8 + -7(2 + x) = -1 + -3(x + 3) 8 + (2 * -7 + x * -7) = -1 + -3(x + 3) 8 + (-14 + -7x) = -1 + -3(x + 3) Combine like terms: 8 + -14 = -6 -6 + -7x = -1 + -3(x + 3) Reorder the terms: -6 + -7x = -1 + -3(3 + x) -6 + -7x = -1 + (3 * -3 + x * -3) -6 + -7x = -1 + (-9 + -3x) Combine like terms: -1 + -9 = -10 -6 + -7x = -10 + -3x Solving -6 + -7x = -10 + -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. -6 + -7x + 3x = -10 + -3x + 3x Combine like terms: -7x + 3x = -4x -6 + -4x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -4x = -10 + 0 -6 + -4x = -10 Add '6' to each side of the equation. -6 + 6 + -4x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -10 + 6 -4x = -10 + 6 Combine like terms: -10 + 6 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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