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Simplifying 3(x + 5) + -100 = -2(x + 10) Reorder the terms: 3(5 + x) + -100 = -2(x + 10) (5 * 3 + x * 3) + -100 = -2(x + 10) (15 + 3x) + -100 = -2(x + 10) Reorder the terms: 15 + -100 + 3x = -2(x + 10) Combine like terms: 15 + -100 = -85 -85 + 3x = -2(x + 10) Reorder the terms: -85 + 3x = -2(10 + x) -85 + 3x = (10 * -2 + x * -2) -85 + 3x = (-20 + -2x) Solving -85 + 3x = -20 + -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. -85 + 3x + 2x = -20 + -2x + 2x Combine like terms: 3x + 2x = 5x -85 + 5x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -85 + 5x = -20 + 0 -85 + 5x = -20 Add '85' to each side of the equation. -85 + 85 + 5x = -20 + 85 Combine like terms: -85 + 85 = 0 0 + 5x = -20 + 85 5x = -20 + 85 Combine like terms: -20 + 85 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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