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Simplifying 5(x + 1) + -4x = 6 + -2x + -1(4 + -2x) Reorder the terms: 5(1 + x) + -4x = 6 + -2x + -1(4 + -2x) (1 * 5 + x * 5) + -4x = 6 + -2x + -1(4 + -2x) (5 + 5x) + -4x = 6 + -2x + -1(4 + -2x) Combine like terms: 5x + -4x = 1x 5 + 1x = 6 + -2x + -1(4 + -2x) 5 + 1x = 6 + -2x + (4 * -1 + -2x * -1) 5 + 1x = 6 + -2x + (-4 + 2x) Reorder the terms: 5 + 1x = 6 + -4 + -2x + 2x Combine like terms: 6 + -4 = 2 5 + 1x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 1x = 2 + 0 5 + 1x = 2 Solving 5 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 2 + -5 1x = 2 + -5 Combine like terms: 2 + -5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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