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Simplifying -3(t + -2) + 6x = 7t + -6 Reorder the terms: -3(-2 + t) + 6x = 7t + -6 (-2 * -3 + t * -3) + 6x = 7t + -6 (6 + -3t) + 6x = 7t + -6 Reorder the terms: 6 + -3t + 6x = -6 + 7t Solving 6 + -3t + 6x = -6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 6 + -3t + -7t + 6x = -6 + 7t + -7t Combine like terms: -3t + -7t = -10t 6 + -10t + 6x = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -10t + 6x = -6 + 0 6 + -10t + 6x = -6 Add '-6' to each side of the equation. 6 + -10t + -6 + 6x = -6 + -6 Reorder the terms: 6 + -6 + -10t + 6x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -10t + 6x = -6 + -6 -10t + 6x = -6 + -6 Combine like terms: -6 + -6 = -12 -10t + 6x = -12 Add '-6x' to each side of the equation. -10t + 6x + -6x = -12 + -6x Combine like terms: 6x + -6x = 0 -10t + 0 = -12 + -6x -10t = -12 + -6x Divide each side by '-10'. t = 1.2 + 0.6x Simplifying t = 1.2 + 0.6x
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