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Simplifying 5x + -7(x + -4) = 42 Reorder the terms: 5x + -7(-4 + x) = 42 5x + (-4 * -7 + x * -7) = 42 5x + (28 + -7x) = 42 Reorder the terms: 28 + 5x + -7x = 42 Combine like terms: 5x + -7x = -2x 28 + -2x = 42 Solving 28 + -2x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -2x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 42 + -28 -2x = 42 + -28 Combine like terms: 42 + -28 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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