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Simplifying ((x * 3) + 7) * 4 = 17x + (3t + -7) Reorder the terms for easier multiplication: ((3x) + 7) * 4 = 17x + (3t + -7) Reorder the terms: (7 + (3x)) * 4 = 17x + (3t + -7) Reorder the terms for easier multiplication: 4(7 + (3x)) = 17x + (3t + -7) (7 * 4 + (3x) * 4) = 17x + (3t + -7) (28 + 12x) = 17x + (3t + -7) Reorder the terms: 28 + 12x = 17x + (-7 + 3t) Remove parenthesis around (-7 + 3t) 28 + 12x = 17x + -7 + 3t Reorder the terms: 28 + 12x = -7 + 3t + 17x Solving 28 + 12x = -7 + 3t + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 28 + 12x + -17x = -7 + 3t + 17x + -17x Combine like terms: 12x + -17x = -5x 28 + -5x = -7 + 3t + 17x + -17x Combine like terms: 17x + -17x = 0 28 + -5x = -7 + 3t + 0 28 + -5x = -7 + 3t Add '-28' to each side of the equation. 28 + -28 + -5x = -7 + -28 + 3t Combine like terms: 28 + -28 = 0 0 + -5x = -7 + -28 + 3t -5x = -7 + -28 + 3t Combine like terms: -7 + -28 = -35 -5x = -35 + 3t Divide each side by '-5'. x = 7 + -0.6t Simplifying x = 7 + -0.6t
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