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Simplifying 8 + -5(2 + -5x) + -3(2x + -3) = 9 + 14x 8 + (2 * -5 + -5x * -5) + -3(2x + -3) = 9 + 14x 8 + (-10 + 25x) + -3(2x + -3) = 9 + 14x Reorder the terms: 8 + -10 + 25x + -3(-3 + 2x) = 9 + 14x 8 + -10 + 25x + (-3 * -3 + 2x * -3) = 9 + 14x 8 + -10 + 25x + (9 + -6x) = 9 + 14x Reorder the terms: 8 + -10 + 9 + 25x + -6x = 9 + 14x Combine like terms: 8 + -10 = -2 -2 + 9 + 25x + -6x = 9 + 14x Combine like terms: -2 + 9 = 7 7 + 25x + -6x = 9 + 14x Combine like terms: 25x + -6x = 19x 7 + 19x = 9 + 14x Solving 7 + 19x = 9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + 19x + -14x = 9 + 14x + -14x Combine like terms: 19x + -14x = 5x 7 + 5x = 9 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + 5x = 9 + 0 7 + 5x = 9 Add '-7' to each side of the equation. 7 + -7 + 5x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 9 + -7 5x = 9 + -7 Combine like terms: 9 + -7 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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