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Simplifying 5x + 5(x + 4) = 2(x + 26) Reorder the terms: 5x + 5(4 + x) = 2(x + 26) 5x + (4 * 5 + x * 5) = 2(x + 26) 5x + (20 + 5x) = 2(x + 26) Reorder the terms: 20 + 5x + 5x = 2(x + 26) Combine like terms: 5x + 5x = 10x 20 + 10x = 2(x + 26) Reorder the terms: 20 + 10x = 2(26 + x) 20 + 10x = (26 * 2 + x * 2) 20 + 10x = (52 + 2x) Solving 20 + 10x = 52 + 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 + 10x + -2x = 52 + 2x + -2x Combine like terms: 10x + -2x = 8x 20 + 8x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 8x = 52 + 0 20 + 8x = 52 Add '-20' to each side of the equation. 20 + -20 + 8x = 52 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 52 + -20 8x = 52 + -20 Combine like terms: 52 + -20 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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