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Simplifying -8x + -3(5 + -5x) = 3(x + -2) + -37 -8x + (5 * -3 + -5x * -3) = 3(x + -2) + -37 -8x + (-15 + 15x) = 3(x + -2) + -37 Reorder the terms: -15 + -8x + 15x = 3(x + -2) + -37 Combine like terms: -8x + 15x = 7x -15 + 7x = 3(x + -2) + -37 Reorder the terms: -15 + 7x = 3(-2 + x) + -37 -15 + 7x = (-2 * 3 + x * 3) + -37 -15 + 7x = (-6 + 3x) + -37 Reorder the terms: -15 + 7x = -6 + -37 + 3x Combine like terms: -6 + -37 = -43 -15 + 7x = -43 + 3x Solving -15 + 7x = -43 + 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. -15 + 7x + -3x = -43 + 3x + -3x Combine like terms: 7x + -3x = 4x -15 + 4x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 4x = -43 + 0 -15 + 4x = -43 Add '15' to each side of the equation. -15 + 15 + 4x = -43 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -43 + 15 4x = -43 + 15 Combine like terms: -43 + 15 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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