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Simplifying 14(x + -6) + 4x = 6(3t + 2) + -11 Reorder the terms: 14(-6 + x) + 4x = 6(3t + 2) + -11 (-6 * 14 + x * 14) + 4x = 6(3t + 2) + -11 (-84 + 14x) + 4x = 6(3t + 2) + -11 Combine like terms: 14x + 4x = 18x -84 + 18x = 6(3t + 2) + -11 Reorder the terms: -84 + 18x = 6(2 + 3t) + -11 -84 + 18x = (2 * 6 + 3t * 6) + -11 -84 + 18x = (12 + 18t) + -11 Reorder the terms: -84 + 18x = 12 + -11 + 18t Combine like terms: 12 + -11 = 1 -84 + 18x = 1 + 18t Solving -84 + 18x = 1 + 18t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 18x = 1 + 84 + 18t Combine like terms: -84 + 84 = 0 0 + 18x = 1 + 84 + 18t 18x = 1 + 84 + 18t Combine like terms: 1 + 84 = 85 18x = 85 + 18t Divide each side by '18'. x = 4.722222222 + t Simplifying x = 4.722222222 + t
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