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Simplifying 5(x + 12) + -5 = 4x + 10 Reorder the terms: 5(12 + x) + -5 = 4x + 10 (12 * 5 + x * 5) + -5 = 4x + 10 (60 + 5x) + -5 = 4x + 10 Reorder the terms: 60 + -5 + 5x = 4x + 10 Combine like terms: 60 + -5 = 55 55 + 5x = 4x + 10 Reorder the terms: 55 + 5x = 10 + 4x Solving 55 + 5x = 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. 55 + 5x + -4x = 10 + 4x + -4x Combine like terms: 5x + -4x = 1x 55 + 1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 55 + 1x = 10 + 0 55 + 1x = 10 Add '-55' to each side of the equation. 55 + -55 + 1x = 10 + -55 Combine like terms: 55 + -55 = 0 0 + 1x = 10 + -55 1x = 10 + -55 Combine like terms: 10 + -55 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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