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Simplifying -4(x + -7) + -38 = 14 + -16 Reorder the terms: -4(-7 + x) + -38 = 14 + -16 (-7 * -4 + x * -4) + -38 = 14 + -16 (28 + -4x) + -38 = 14 + -16 Reorder the terms: 28 + -38 + -4x = 14 + -16 Combine like terms: 28 + -38 = -10 -10 + -4x = 14 + -16 Combine like terms: 14 + -16 = -2 -10 + -4x = -2 Solving -10 + -4x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -2 + 10 -4x = -2 + 10 Combine like terms: -2 + 10 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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