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Simplifying 5x + 4 = 13 + -1(10 + -4x) Reorder the terms: 4 + 5x = 13 + -1(10 + -4x) 4 + 5x = 13 + (10 * -1 + -4x * -1) 4 + 5x = 13 + (-10 + 4x) Combine like terms: 13 + -10 = 3 4 + 5x = 3 + 4x Solving 4 + 5x = 3 + 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. 4 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x 4 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 1x = 3 + 0 4 + 1x = 3 Add '-4' to each side of the equation. 4 + -4 + 1x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 3 + -4 1x = 3 + -4 Combine like terms: 3 + -4 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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