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Simplifying 2x + 6 + -5(x + 1) = 5x + 4 Reorder the terms: 2x + 6 + -5(1 + x) = 5x + 4 2x + 6 + (1 * -5 + x * -5) = 5x + 4 2x + 6 + (-5 + -5x) = 5x + 4 Reorder the terms: 6 + -5 + 2x + -5x = 5x + 4 Combine like terms: 6 + -5 = 1 1 + 2x + -5x = 5x + 4 Combine like terms: 2x + -5x = -3x 1 + -3x = 5x + 4 Reorder the terms: 1 + -3x = 4 + 5x Solving 1 + -3x = 4 + 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 = 4 + 5x + -5x Combine like terms: -3x + -5x = -8x 1 + -8x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -8x = 4 + 0 1 + -8x = 4 Add '-1' to each side of the equation. 1 + -1 + -8x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 4 + -1 -8x = 4 + -1 Combine like terms: 4 + -1 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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