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Simplifying 1x + 23 + 4x = -40 + -4x + -45 Reorder the terms: 23 + 1x + 4x = -40 + -4x + -45 Combine like terms: 1x + 4x = 5x 23 + 5x = -40 + -4x + -45 Reorder the terms: 23 + 5x = -40 + -45 + -4x Combine like terms: -40 + -45 = -85 23 + 5x = -85 + -4x Solving 23 + 5x = -85 + -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. 23 + 5x + 4x = -85 + -4x + 4x Combine like terms: 5x + 4x = 9x 23 + 9x = -85 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + 9x = -85 + 0 23 + 9x = -85 Add '-23' to each side of the equation. 23 + -23 + 9x = -85 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = -85 + -23 9x = -85 + -23 Combine like terms: -85 + -23 = -108 9x = -108 Divide each side by '9'. x = -12 Simplifying x = -12
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