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Simplifying 45 + -3x = 5 + -1(4x + -5) Reorder the terms: 45 + -3x = 5 + -1(-5 + 4x) 45 + -3x = 5 + (-5 * -1 + 4x * -1) 45 + -3x = 5 + (5 + -4x) Combine like terms: 5 + 5 = 10 45 + -3x = 10 + -4x Solving 45 + -3x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 45 + -3x + 4x = 10 + -4x + 4x Combine like terms: -3x + 4x = 1x 45 + 1x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 45 + 1x = 10 + 0 45 + 1x = 10 Add '-45' to each side of the equation. 45 + -45 + 1x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 10 + -45 1x = 10 + -45 Combine like terms: 10 + -45 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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