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Simplifying 7x(-5) + 2x = 5x + 17 Reorder the terms for easier multiplication: 7 * -5x + 2x = 5x + 17 Multiply 7 * -5 -35x + 2x = 5x + 17 Combine like terms: -35x + 2x = -33x -33x = 5x + 17 Reorder the terms: -33x = 17 + 5x Solving -33x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -33x + -5x = 17 + 5x + -5x Combine like terms: -33x + -5x = -38x -38x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -38x = 17 + 0 -38x = 17 Divide each side by '-38'. x = -0.4473684211 Simplifying x = -0.4473684211
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