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Simplifying -8(x + 1) + 3(x + -2) = -3x + 2 Reorder the terms: -8(1 + x) + 3(x + -2) = -3x + 2 (1 * -8 + x * -8) + 3(x + -2) = -3x + 2 (-8 + -8x) + 3(x + -2) = -3x + 2 Reorder the terms: -8 + -8x + 3(-2 + x) = -3x + 2 -8 + -8x + (-2 * 3 + x * 3) = -3x + 2 -8 + -8x + (-6 + 3x) = -3x + 2 Reorder the terms: -8 + -6 + -8x + 3x = -3x + 2 Combine like terms: -8 + -6 = -14 -14 + -8x + 3x = -3x + 2 Combine like terms: -8x + 3x = -5x -14 + -5x = -3x + 2 Reorder the terms: -14 + -5x = 2 + -3x Solving -14 + -5x = 2 + -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. -14 + -5x + 3x = 2 + -3x + 3x Combine like terms: -5x + 3x = -2x -14 + -2x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -2x = 2 + 0 -14 + -2x = 2 Add '14' to each side of the equation. -14 + 14 + -2x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 2 + 14 -2x = 2 + 14 Combine like terms: 2 + 14 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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