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Simplifying 5(x + 4) + x = 2(x + 1) + 2 Reorder the terms: 5(4 + x) + x = 2(x + 1) + 2 (4 * 5 + x * 5) + x = 2(x + 1) + 2 (20 + 5x) + x = 2(x + 1) + 2 Combine like terms: 5x + x = 6x 20 + 6x = 2(x + 1) + 2 Reorder the terms: 20 + 6x = 2(1 + x) + 2 20 + 6x = (1 * 2 + x * 2) + 2 20 + 6x = (2 + 2x) + 2 Reorder the terms: 20 + 6x = 2 + 2 + 2x Combine like terms: 2 + 2 = 4 20 + 6x = 4 + 2x Solving 20 + 6x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x 20 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 4x = 4 + 0 20 + 4x = 4 Add '-20' to each side of the equation. 20 + -20 + 4x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 4 + -20 4x = 4 + -20 Combine like terms: 4 + -20 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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