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Simplifying -7(x + 3) + -3(x + -2) = -5 + -8x Reorder the terms: -7(3 + x) + -3(x + -2) = -5 + -8x (3 * -7 + x * -7) + -3(x + -2) = -5 + -8x (-21 + -7x) + -3(x + -2) = -5 + -8x Reorder the terms: -21 + -7x + -3(-2 + x) = -5 + -8x -21 + -7x + (-2 * -3 + x * -3) = -5 + -8x -21 + -7x + (6 + -3x) = -5 + -8x Reorder the terms: -21 + 6 + -7x + -3x = -5 + -8x Combine like terms: -21 + 6 = -15 -15 + -7x + -3x = -5 + -8x Combine like terms: -7x + -3x = -10x -15 + -10x = -5 + -8x Solving -15 + -10x = -5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + -10x + 8x = -5 + -8x + 8x Combine like terms: -10x + 8x = -2x -15 + -2x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -2x = -5 + 0 -15 + -2x = -5 Add '15' to each side of the equation. -15 + 15 + -2x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -5 + 15 -2x = -5 + 15 Combine like terms: -5 + 15 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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