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Simplifying 2x + 4 + -5(x + 1) = 5x + 6 Reorder the terms: 2x + 4 + -5(1 + x) = 5x + 6 2x + 4 + (1 * -5 + x * -5) = 5x + 6 2x + 4 + (-5 + -5x) = 5x + 6 Reorder the terms: 4 + -5 + 2x + -5x = 5x + 6 Combine like terms: 4 + -5 = -1 -1 + 2x + -5x = 5x + 6 Combine like terms: 2x + -5x = -3x -1 + -3x = 5x + 6 Reorder the terms: -1 + -3x = 6 + 5x Solving -1 + -3x = 6 + 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. -1 + -3x + -5x = 6 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = 6 + 0 -1 + -8x = 6 Add '1' to each side of the equation. -1 + 1 + -8x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 6 + 1 -8x = 6 + 1 Combine like terms: 6 + 1 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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