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Simplifying 5x + -6(x + 7) = 45 + -95 Reorder the terms: 5x + -6(7 + x) = 45 + -95 5x + (7 * -6 + x * -6) = 45 + -95 5x + (-42 + -6x) = 45 + -95 Reorder the terms: -42 + 5x + -6x = 45 + -95 Combine like terms: 5x + -6x = -1x -42 + -1x = 45 + -95 Combine like terms: 45 + -95 = -50 -42 + -1x = -50 Solving -42 + -1x = -50 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 + -1x = -50 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -50 + 42 -1x = -50 + 42 Combine like terms: -50 + 42 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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