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Simplifying -5x + 6(4x + -7) = 53 Reorder the terms: -5x + 6(-7 + 4x) = 53 -5x + (-7 * 6 + 4x * 6) = 53 -5x + (-42 + 24x) = 53 Reorder the terms: -42 + -5x + 24x = 53 Combine like terms: -5x + 24x = 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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