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Simplifying -2 + -5(x + 7) = -3(x + -5) + 3 Reorder the terms: -2 + -5(7 + x) = -3(x + -5) + 3 -2 + (7 * -5 + x * -5) = -3(x + -5) + 3 -2 + (-35 + -5x) = -3(x + -5) + 3 Combine like terms: -2 + -35 = -37 -37 + -5x = -3(x + -5) + 3 Reorder the terms: -37 + -5x = -3(-5 + x) + 3 -37 + -5x = (-5 * -3 + x * -3) + 3 -37 + -5x = (15 + -3x) + 3 Reorder the terms: -37 + -5x = 15 + 3 + -3x Combine like terms: 15 + 3 = 18 -37 + -5x = 18 + -3x Solving -37 + -5x = 18 + -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. -37 + -5x + 3x = 18 + -3x + 3x Combine like terms: -5x + 3x = -2x -37 + -2x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -37 + -2x = 18 + 0 -37 + -2x = 18 Add '37' to each side of the equation. -37 + 37 + -2x = 18 + 37 Combine like terms: -37 + 37 = 0 0 + -2x = 18 + 37 -2x = 18 + 37 Combine like terms: 18 + 37 = 55 -2x = 55 Divide each side by '-2'. x = -27.5 Simplifying x = -27.5
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