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Simplifying 14 + -6(5x + -9) = 7(10x + 28) Reorder the terms: 14 + -6(-9 + 5x) = 7(10x + 28) 14 + (-9 * -6 + 5x * -6) = 7(10x + 28) 14 + (54 + -30x) = 7(10x + 28) Combine like terms: 14 + 54 = 68 68 + -30x = 7(10x + 28) Reorder the terms: 68 + -30x = 7(28 + 10x) 68 + -30x = (28 * 7 + 10x * 7) 68 + -30x = (196 + 70x) Solving 68 + -30x = 196 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 68 + -30x + -70x = 196 + 70x + -70x Combine like terms: -30x + -70x = -100x 68 + -100x = 196 + 70x + -70x Combine like terms: 70x + -70x = 0 68 + -100x = 196 + 0 68 + -100x = 196 Add '-68' to each side of the equation. 68 + -68 + -100x = 196 + -68 Combine like terms: 68 + -68 = 0 0 + -100x = 196 + -68 -100x = 196 + -68 Combine like terms: 196 + -68 = 128 -100x = 128 Divide each side by '-100'. x = -1.28 Simplifying x = -1.28
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