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Simplifying 5x + 7(2x + -6) = 53 Reorder the terms: 5x + 7(-6 + 2x) = 53 5x + (-6 * 7 + 2x * 7) = 53 5x + (-42 + 14x) = 53 Reorder the terms: -42 + 5x + 14x = 53 Combine like terms: 5x + 14x = 19x -42 + 19x = 53 Solving -42 + 19x = 53 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 + 19x = 53 + 42 Combine like terms: -42 + 42 = 0 0 + 19x = 53 + 42 19x = 53 + 42 Combine like terms: 53 + 42 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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