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Simplifying 7x + -5(3x + 1) = 51 Reorder the terms: 7x + -5(1 + 3x) = 51 7x + (1 * -5 + 3x * -5) = 51 7x + (-5 + -15x) = 51 Reorder the terms: -5 + 7x + -15x = 51 Combine like terms: 7x + -15x = -8x -5 + -8x = 51 Solving -5 + -8x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 51 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 51 + 5 -8x = 51 + 5 Combine like terms: 51 + 5 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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