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Simplifying 4x + -7(x + -9) = 42 Reorder the terms: 4x + -7(-9 + x) = 42 4x + (-9 * -7 + x * -7) = 42 4x + (63 + -7x) = 42 Reorder the terms: 63 + 4x + -7x = 42 Combine like terms: 4x + -7x = -3x 63 + -3x = 42 Solving 63 + -3x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -3x = 42 + -63 Combine like terms: 63 + -63 = 0 0 + -3x = 42 + -63 -3x = 42 + -63 Combine like terms: 42 + -63 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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