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Simplifying 4x + 1 + 2(x + -5) = 5(x + 1) Reorder the terms: 4x + 1 + 2(-5 + x) = 5(x + 1) 4x + 1 + (-5 * 2 + x * 2) = 5(x + 1) 4x + 1 + (-10 + 2x) = 5(x + 1) Reorder the terms: 1 + -10 + 4x + 2x = 5(x + 1) Combine like terms: 1 + -10 = -9 -9 + 4x + 2x = 5(x + 1) Combine like terms: 4x + 2x = 6x -9 + 6x = 5(x + 1) Reorder the terms: -9 + 6x = 5(1 + x) -9 + 6x = (1 * 5 + x * 5) -9 + 6x = (5 + 5x) Solving -9 + 6x = 5 + 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. -9 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x -9 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 1x = 5 + 0 -9 + 1x = 5 Add '9' to each side of the equation. -9 + 9 + 1x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 5 + 9 1x = 5 + 9 Combine like terms: 5 + 9 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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