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Simplifying 3(14 + -6x + 3) + -5(2 + -4x) = 16 + 3x Reorder the terms: 3(14 + 3 + -6x) + -5(2 + -4x) = 16 + 3x Combine like terms: 14 + 3 = 17 3(17 + -6x) + -5(2 + -4x) = 16 + 3x (17 * 3 + -6x * 3) + -5(2 + -4x) = 16 + 3x (51 + -18x) + -5(2 + -4x) = 16 + 3x 51 + -18x + (2 * -5 + -4x * -5) = 16 + 3x 51 + -18x + (-10 + 20x) = 16 + 3x Reorder the terms: 51 + -10 + -18x + 20x = 16 + 3x Combine like terms: 51 + -10 = 41 41 + -18x + 20x = 16 + 3x Combine like terms: -18x + 20x = 2x 41 + 2x = 16 + 3x Solving 41 + 2x = 16 + 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. 41 + 2x + -3x = 16 + 3x + -3x Combine like terms: 2x + -3x = -1x 41 + -1x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + -1x = 16 + 0 41 + -1x = 16 Add '-41' to each side of the equation. 41 + -41 + -1x = 16 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 16 + -41 -1x = 16 + -41 Combine like terms: 16 + -41 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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