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Simplifying 4(x + 19) = 3x + 41 Reorder the terms: 4(19 + x) = 3x + 41 (19 * 4 + x * 4) = 3x + 41 (76 + 4x) = 3x + 41 Reorder the terms: 76 + 4x = 41 + 3x Solving 76 + 4x = 41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 76 + 4x + -3x = 41 + 3x + -3x Combine like terms: 4x + -3x = 1x 76 + 1x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 76 + 1x = 41 + 0 76 + 1x = 41 Add '-76' to each side of the equation. 76 + -76 + 1x = 41 + -76 Combine like terms: 76 + -76 = 0 0 + 1x = 41 + -76 1x = 41 + -76 Combine like terms: 41 + -76 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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