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Simplifying 5x + 3(3x + -10) = 100 + -2(3x + 5) Reorder the terms: 5x + 3(-10 + 3x) = 100 + -2(3x + 5) 5x + (-10 * 3 + 3x * 3) = 100 + -2(3x + 5) 5x + (-30 + 9x) = 100 + -2(3x + 5) Reorder the terms: -30 + 5x + 9x = 100 + -2(3x + 5) Combine like terms: 5x + 9x = 14x -30 + 14x = 100 + -2(3x + 5) Reorder the terms: -30 + 14x = 100 + -2(5 + 3x) -30 + 14x = 100 + (5 * -2 + 3x * -2) -30 + 14x = 100 + (-10 + -6x) Combine like terms: 100 + -10 = 90 -30 + 14x = 90 + -6x Solving -30 + 14x = 90 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 14x + 6x = 90 + -6x + 6x Combine like terms: 14x + 6x = 20x -30 + 20x = 90 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 20x = 90 + 0 -30 + 20x = 90 Add '30' to each side of the equation. -30 + 30 + 20x = 90 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = 90 + 30 20x = 90 + 30 Combine like terms: 90 + 30 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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