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Simplifying -15x + 3(x + -5) + 9x = 2x + -40 Reorder the terms: -15x + 3(-5 + x) + 9x = 2x + -40 -15x + (-5 * 3 + x * 3) + 9x = 2x + -40 -15x + (-15 + 3x) + 9x = 2x + -40 Reorder the terms: -15 + -15x + 3x + 9x = 2x + -40 Combine like terms: -15x + 3x = -12x -15 + -12x + 9x = 2x + -40 Combine like terms: -12x + 9x = -3x -15 + -3x = 2x + -40 Reorder the terms: -15 + -3x = -40 + 2x Solving -15 + -3x = -40 + 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. -15 + -3x + -2x = -40 + 2x + -2x Combine like terms: -3x + -2x = -5x -15 + -5x = -40 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -5x = -40 + 0 -15 + -5x = -40 Add '15' to each side of the equation. -15 + 15 + -5x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -40 + 15 -5x = -40 + 15 Combine like terms: -40 + 15 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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