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Simplifying 2(52 + x) = 2(5x + -19) (52 * 2 + x * 2) = 2(5x + -19) (104 + 2x) = 2(5x + -19) Reorder the terms: 104 + 2x = 2(-19 + 5x) 104 + 2x = (-19 * 2 + 5x * 2) 104 + 2x = (-38 + 10x) Solving 104 + 2x = -38 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 104 + 2x + -10x = -38 + 10x + -10x Combine like terms: 2x + -10x = -8x 104 + -8x = -38 + 10x + -10x Combine like terms: 10x + -10x = 0 104 + -8x = -38 + 0 104 + -8x = -38 Add '-104' to each side of the equation. 104 + -104 + -8x = -38 + -104 Combine like terms: 104 + -104 = 0 0 + -8x = -38 + -104 -8x = -38 + -104 Combine like terms: -38 + -104 = -142 -8x = -142 Divide each side by '-8'. x = 17.75 Simplifying x = 17.75
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