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Simplifying 5(x + -100) = 2(x + -100) * 21 Reorder the terms: 5(-100 + x) = 2(x + -100) * 21 (-100 * 5 + x * 5) = 2(x + -100) * 21 (-500 + 5x) = 2(x + -100) * 21 Reorder the terms: -500 + 5x = 2(-100 + x) * 21 Reorder the terms for easier multiplication: -500 + 5x = 2 * 21(-100 + x) Multiply 2 * 21 -500 + 5x = 42(-100 + x) -500 + 5x = (-100 * 42 + x * 42) -500 + 5x = (-4200 + 42x) Solving -500 + 5x = -4200 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -500 + 5x + -42x = -4200 + 42x + -42x Combine like terms: 5x + -42x = -37x -500 + -37x = -4200 + 42x + -42x Combine like terms: 42x + -42x = 0 -500 + -37x = -4200 + 0 -500 + -37x = -4200 Add '500' to each side of the equation. -500 + 500 + -37x = -4200 + 500 Combine like terms: -500 + 500 = 0 0 + -37x = -4200 + 500 -37x = -4200 + 500 Combine like terms: -4200 + 500 = -3700 -37x = -3700 Divide each side by '-37'. x = 100 Simplifying x = 100
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