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Simplifying 4(x + -2) + 7 = -45 Reorder the terms: 4(-2 + x) + 7 = -45 (-2 * 4 + x * 4) + 7 = -45 (-8 + 4x) + 7 = -45 Reorder the terms: -8 + 7 + 4x = -45 Combine like terms: -8 + 7 = -1 -1 + 4x = -45 Solving -1 + 4x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = -45 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -45 + 1 4x = -45 + 1 Combine like terms: -45 + 1 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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