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Simplifying 10x + -7(4 + 5x) + -1(3x + 14) = 0 10x + (4 * -7 + 5x * -7) + -1(3x + 14) = 0 10x + (-28 + -35x) + -1(3x + 14) = 0 Reorder the terms: 10x + -28 + -35x + -1(14 + 3x) = 0 10x + -28 + -35x + (14 * -1 + 3x * -1) = 0 10x + -28 + -35x + (-14 + -3x) = 0 Reorder the terms: -28 + -14 + 10x + -35x + -3x = 0 Combine like terms: -28 + -14 = -42 -42 + 10x + -35x + -3x = 0 Combine like terms: 10x + -35x = -25x -42 + -25x + -3x = 0 Combine like terms: -25x + -3x = -28x -42 + -28x = 0 Solving -42 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -28x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -28x = 0 + 42 -28x = 0 + 42 Combine like terms: 0 + 42 = 42 -28x = 42 Divide each side by '-28'. x = -1.5 Simplifying x = -1.5
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