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Simplifying 292 = 2(4x + 3) + 2(3x + 10) Reorder the terms: 292 = 2(3 + 4x) + 2(3x + 10) 292 = (3 * 2 + 4x * 2) + 2(3x + 10) 292 = (6 + 8x) + 2(3x + 10) Reorder the terms: 292 = 6 + 8x + 2(10 + 3x) 292 = 6 + 8x + (10 * 2 + 3x * 2) 292 = 6 + 8x + (20 + 6x) Reorder the terms: 292 = 6 + 20 + 8x + 6x Combine like terms: 6 + 20 = 26 292 = 26 + 8x + 6x Combine like terms: 8x + 6x = 14x 292 = 26 + 14x Solving 292 = 26 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 292 + -14x = 26 + 14x + -14x Combine like terms: 14x + -14x = 0 292 + -14x = 26 + 0 292 + -14x = 26 Add '-292' to each side of the equation. 292 + -292 + -14x = 26 + -292 Combine like terms: 292 + -292 = 0 0 + -14x = 26 + -292 -14x = 26 + -292 Combine like terms: 26 + -292 = -266 -14x = -266 Divide each side by '-14'. x = 19 Simplifying x = 19
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