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Simplifying 2x + -4 + 5(x + 1) = 6x + 5 Reorder the terms: 2x + -4 + 5(1 + x) = 6x + 5 2x + -4 + (1 * 5 + x * 5) = 6x + 5 2x + -4 + (5 + 5x) = 6x + 5 Reorder the terms: -4 + 5 + 2x + 5x = 6x + 5 Combine like terms: -4 + 5 = 1 1 + 2x + 5x = 6x + 5 Combine like terms: 2x + 5x = 7x 1 + 7x = 6x + 5 Reorder the terms: 1 + 7x = 5 + 6x Solving 1 + 7x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 7x + -6x = 5 + 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 1x = 5 + 0 1 + 1x = 5 Add '-1' to each side of the equation. 1 + -1 + 1x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 5 + -1 1x = 5 + -1 Combine like terms: 5 + -1 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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