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Simplifying 2x + 3 + -5(x + 1) = 6x + 5 Reorder the terms: 2x + 3 + -5(1 + x) = 6x + 5 2x + 3 + (1 * -5 + x * -5) = 6x + 5 2x + 3 + (-5 + -5x) = 6x + 5 Reorder the terms: 3 + -5 + 2x + -5x = 6x + 5 Combine like terms: 3 + -5 = -2 -2 + 2x + -5x = 6x + 5 Combine like terms: 2x + -5x = -3x -2 + -3x = 6x + 5 Reorder the terms: -2 + -3x = 5 + 6x Solving -2 + -3x = 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. -2 + -3x + -6x = 5 + 6x + -6x Combine like terms: -3x + -6x = -9x -2 + -9x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -9x = 5 + 0 -2 + -9x = 5 Add '2' to each side of the equation. -2 + 2 + -9x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 5 + 2 -9x = 5 + 2 Combine like terms: 5 + 2 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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