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Simplifying 8x + -4(1 + 19x) = 9(-6x + 12) 8x + (1 * -4 + 19x * -4) = 9(-6x + 12) 8x + (-4 + -76x) = 9(-6x + 12) Reorder the terms: -4 + 8x + -76x = 9(-6x + 12) Combine like terms: 8x + -76x = -68x -4 + -68x = 9(-6x + 12) Reorder the terms: -4 + -68x = 9(12 + -6x) -4 + -68x = (12 * 9 + -6x * 9) -4 + -68x = (108 + -54x) Solving -4 + -68x = 108 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -4 + -68x + 54x = 108 + -54x + 54x Combine like terms: -68x + 54x = -14x -4 + -14x = 108 + -54x + 54x Combine like terms: -54x + 54x = 0 -4 + -14x = 108 + 0 -4 + -14x = 108 Add '4' to each side of the equation. -4 + 4 + -14x = 108 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 108 + 4 -14x = 108 + 4 Combine like terms: 108 + 4 = 112 -14x = 112 Divide each side by '-14'. x = -8 Simplifying x = -8
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