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Simplifying 3x + -4 = 10 + -1(5 + -1x) Reorder the terms: -4 + 3x = 10 + -1(5 + -1x) -4 + 3x = 10 + (5 * -1 + -1x * -1) -4 + 3x = 10 + (-5 + 1x) Combine like terms: 10 + -5 = 5 -4 + 3x = 5 + 1x Solving -4 + 3x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 3x + -1x = 5 + 1x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 2x = 5 + 0 -4 + 2x = 5 Add '4' to each side of the equation. -4 + 4 + 2x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 5 + 4 2x = 5 + 4 Combine like terms: 5 + 4 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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