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