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Simplifying -4(x + 3) + -45 = 7 + -40 Reorder the terms: -4(3 + x) + -45 = 7 + -40 (3 * -4 + x * -4) + -45 = 7 + -40 (-12 + -4x) + -45 = 7 + -40 Reorder the terms: -12 + -45 + -4x = 7 + -40 Combine like terms: -12 + -45 = -57 -57 + -4x = 7 + -40 Combine like terms: 7 + -40 = -33 -57 + -4x = -33 Solving -57 + -4x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -4x = -33 + 57 Combine like terms: -57 + 57 = 0 0 + -4x = -33 + 57 -4x = -33 + 57 Combine like terms: -33 + 57 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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