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Simplifying -3(x + 4) + -45 = 7 + -46 Reorder the terms: -3(4 + x) + -45 = 7 + -46 (4 * -3 + x * -3) + -45 = 7 + -46 (-12 + -3x) + -45 = 7 + -46 Reorder the terms: -12 + -45 + -3x = 7 + -46 Combine like terms: -12 + -45 = -57 -57 + -3x = 7 + -46 Combine like terms: 7 + -46 = -39 -57 + -3x = -39 Solving -57 + -3x = -39 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 + -3x = -39 + 57 Combine like terms: -57 + 57 = 0 0 + -3x = -39 + 57 -3x = -39 + 57 Combine like terms: -39 + 57 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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