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Simplifying -45 + -4x = -7(5x + -3) + -4 Reorder the terms: -45 + -4x = -7(-3 + 5x) + -4 -45 + -4x = (-3 * -7 + 5x * -7) + -4 -45 + -4x = (21 + -35x) + -4 Reorder the terms: -45 + -4x = 21 + -4 + -35x Combine like terms: 21 + -4 = 17 -45 + -4x = 17 + -35x Solving -45 + -4x = 17 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -45 + -4x + 35x = 17 + -35x + 35x Combine like terms: -4x + 35x = 31x -45 + 31x = 17 + -35x + 35x Combine like terms: -35x + 35x = 0 -45 + 31x = 17 + 0 -45 + 31x = 17 Add '45' to each side of the equation. -45 + 45 + 31x = 17 + 45 Combine like terms: -45 + 45 = 0 0 + 31x = 17 + 45 31x = 17 + 45 Combine like terms: 17 + 45 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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