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Simplifying 12(x + -3) + 3x = 5(3t + 3) + -10 Reorder the terms: 12(-3 + x) + 3x = 5(3t + 3) + -10 (-3 * 12 + x * 12) + 3x = 5(3t + 3) + -10 (-36 + 12x) + 3x = 5(3t + 3) + -10 Combine like terms: 12x + 3x = 15x -36 + 15x = 5(3t + 3) + -10 Reorder the terms: -36 + 15x = 5(3 + 3t) + -10 -36 + 15x = (3 * 5 + 3t * 5) + -10 -36 + 15x = (15 + 15t) + -10 Reorder the terms: -36 + 15x = 15 + -10 + 15t Combine like terms: 15 + -10 = 5 -36 + 15x = 5 + 15t Solving -36 + 15x = 5 + 15t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 15x = 5 + 36 + 15t Combine like terms: -36 + 36 = 0 0 + 15x = 5 + 36 + 15t 15x = 5 + 36 + 15t Combine like terms: 5 + 36 = 41 15x = 41 + 15t Divide each side by '15'. x = 2.733333333 + t Simplifying x = 2.733333333 + t
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