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