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Simplifying 6(x + -6) + -1t(x + -7) = x + 6 Reorder the terms: 6(-6 + x) + -1t(x + -7) = x + 6 (-6 * 6 + x * 6) + -1t(x + -7) = x + 6 (-36 + 6x) + -1t(x + -7) = x + 6 Reorder the terms: -36 + 6x + -1t(-7 + x) = x + 6 -36 + 6x + (-7 * -1t + x * -1t) = x + 6 -36 + 6x + (7t + -1tx) = x + 6 Reorder the terms: -36 + 7t + -1tx + 6x = x + 6 Reorder the terms: -36 + 7t + -1tx + 6x = 6 + x Solving -36 + 7t + -1tx + 6x = 6 + x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 7t + -1tx + 36 + 6x = 6 + 36 + x Reorder the terms: -36 + 36 + 7t + -1tx + 6x = 6 + 36 + x Combine like terms: -36 + 36 = 0 0 + 7t + -1tx + 6x = 6 + 36 + x 7t + -1tx + 6x = 6 + 36 + x Combine like terms: 6 + 36 = 42 7t + -1tx + 6x = 42 + x Add '-6x' to each side of the equation. 7t + -1tx + 6x + -6x = 42 + x + -6x Combine like terms: 6x + -6x = 0 7t + -1tx + 0 = 42 + x + -6x 7t + -1tx = 42 + x + -6x Combine like terms: x + -6x = -5x 7t + -1tx = 42 + -5x Reorder the terms: -42 + 7t + -1tx + 5x = 42 + -5x + -42 + 5x Reorder the terms: -42 + 7t + -1tx + 5x = 42 + -42 + -5x + 5x Combine like terms: 42 + -42 = 0 -42 + 7t + -1tx + 5x = 0 + -5x + 5x -42 + 7t + -1tx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 7t + -1tx + 5x = 0 The solution to this equation could not be determined.
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