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Simplifying 5(x + 1) + x = 4(x + -1) + 9 Reorder the terms: 5(1 + x) + x = 4(x + -1) + 9 (1 * 5 + x * 5) + x = 4(x + -1) + 9 (5 + 5x) + x = 4(x + -1) + 9 Combine like terms: 5x + x = 6x 5 + 6x = 4(x + -1) + 9 Reorder the terms: 5 + 6x = 4(-1 + x) + 9 5 + 6x = (-1 * 4 + x * 4) + 9 5 + 6x = (-4 + 4x) + 9 Reorder the terms: 5 + 6x = -4 + 9 + 4x Combine like terms: -4 + 9 = 5 5 + 6x = 5 + 4x Add '-5' to each side of the equation. 5 + -5 + 6x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 6x = 5 + -5 + 4x 6x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 6x = 0 + 4x 6x = 4x Solving 6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x = 4x + -4x Combine like terms: 6x + -4x = 2x 2x = 4x + -4x Combine like terms: 4x + -4x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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