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Simplifying 5 + -2(2x + 4) = 5x + 5(x + -9) Reorder the terms: 5 + -2(4 + 2x) = 5x + 5(x + -9) 5 + (4 * -2 + 2x * -2) = 5x + 5(x + -9) 5 + (-8 + -4x) = 5x + 5(x + -9) Combine like terms: 5 + -8 = -3 -3 + -4x = 5x + 5(x + -9) Reorder the terms: -3 + -4x = 5x + 5(-9 + x) -3 + -4x = 5x + (-9 * 5 + x * 5) -3 + -4x = 5x + (-45 + 5x) Reorder the terms: -3 + -4x = -45 + 5x + 5x Combine like terms: 5x + 5x = 10x -3 + -4x = -45 + 10x Solving -3 + -4x = -45 + 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. -3 + -4x + -10x = -45 + 10x + -10x Combine like terms: -4x + -10x = -14x -3 + -14x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -14x = -45 + 0 -3 + -14x = -45 Add '3' to each side of the equation. -3 + 3 + -14x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = -45 + 3 -14x = -45 + 3 Combine like terms: -45 + 3 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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