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Simplifying 2(10x + -4) = 7(6x + 5) Reorder the terms: 2(-4 + 10x) = 7(6x + 5) (-4 * 2 + 10x * 2) = 7(6x + 5) (-8 + 20x) = 7(6x + 5) Reorder the terms: -8 + 20x = 7(5 + 6x) -8 + 20x = (5 * 7 + 6x * 7) -8 + 20x = (35 + 42x) Solving -8 + 20x = 35 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -8 + 20x + -42x = 35 + 42x + -42x Combine like terms: 20x + -42x = -22x -8 + -22x = 35 + 42x + -42x Combine like terms: 42x + -42x = 0 -8 + -22x = 35 + 0 -8 + -22x = 35 Add '8' to each side of the equation. -8 + 8 + -22x = 35 + 8 Combine like terms: -8 + 8 = 0 0 + -22x = 35 + 8 -22x = 35 + 8 Combine like terms: 35 + 8 = 43 -22x = 43 Divide each side by '-22'. x = -1.954545455 Simplifying x = -1.954545455
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