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Simplifying -3x + 4x = 4 + 5(x + 1) Combine like terms: -3x + 4x = 1x 1x = 4 + 5(x + 1) Reorder the terms: 1x = 4 + 5(1 + x) 1x = 4 + (1 * 5 + x * 5) 1x = 4 + (5 + 5x) Combine like terms: 4 + 5 = 9 1x = 9 + 5x Solving 1x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1x + -5x = 9 + 5x + -5x Combine like terms: 1x + -5x = -4x -4x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -4x = 9 + 0 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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