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Simplifying 2x + 100 = 5(2x + -10) Reorder the terms: 100 + 2x = 5(2x + -10) Reorder the terms: 100 + 2x = 5(-10 + 2x) 100 + 2x = (-10 * 5 + 2x * 5) 100 + 2x = (-50 + 10x) Solving 100 + 2x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 2x + -10x = -50 + 10x + -10x Combine like terms: 2x + -10x = -8x 100 + -8x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -8x = -50 + 0 100 + -8x = -50 Add '-100' to each side of the equation. 100 + -100 + -8x = -50 + -100 Combine like terms: 100 + -100 = 0 0 + -8x = -50 + -100 -8x = -50 + -100 Combine like terms: -50 + -100 = -150 -8x = -150 Divide each side by '-8'. x = 18.75 Simplifying x = 18.75
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