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Simplifying 5(4x + -10) + 6x = 3(x + -9) Reorder the terms: 5(-10 + 4x) + 6x = 3(x + -9) (-10 * 5 + 4x * 5) + 6x = 3(x + -9) (-50 + 20x) + 6x = 3(x + -9) Combine like terms: 20x + 6x = 26x -50 + 26x = 3(x + -9) Reorder the terms: -50 + 26x = 3(-9 + x) -50 + 26x = (-9 * 3 + x * 3) -50 + 26x = (-27 + 3x) Solving -50 + 26x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -50 + 26x + -3x = -27 + 3x + -3x Combine like terms: 26x + -3x = 23x -50 + 23x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -50 + 23x = -27 + 0 -50 + 23x = -27 Add '50' to each side of the equation. -50 + 50 + 23x = -27 + 50 Combine like terms: -50 + 50 = 0 0 + 23x = -27 + 50 23x = -27 + 50 Combine like terms: -27 + 50 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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