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Simplifying -3x + -8(1 + x) = -2x + 37 -3x + (1 * -8 + x * -8) = -2x + 37 -3x + (-8 + -8x) = -2x + 37 Reorder the terms: -8 + -3x + -8x = -2x + 37 Combine like terms: -3x + -8x = -11x -8 + -11x = -2x + 37 Reorder the terms: -8 + -11x = 37 + -2x Solving -8 + -11x = 37 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + -11x + 2x = 37 + -2x + 2x Combine like terms: -11x + 2x = -9x -8 + -9x = 37 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -9x = 37 + 0 -8 + -9x = 37 Add '8' to each side of the equation. -8 + 8 + -9x = 37 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 37 + 8 -9x = 37 + 8 Combine like terms: 37 + 8 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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