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Simplifying 14x + -6t = 19 + -1(x + t) Reorder the terms: -6t + 14x = 19 + -1(x + t) Reorder the terms: -6t + 14x = 19 + -1(t + x) -6t + 14x = 19 + (t * -1 + x * -1) -6t + 14x = 19 + (-1t + -1x) Solving -6t + 14x = 19 + -1t + -1x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -6t + t + 14x = 19 + -1t + t + -1x Combine like terms: -6t + t = -5t -5t + 14x = 19 + -1t + t + -1x Combine like terms: -1t + t = 0 -5t + 14x = 19 + 0 + -1x -5t + 14x = 19 + -1x Add '-14x' to each side of the equation. -5t + 14x + -14x = 19 + -1x + -14x Combine like terms: 14x + -14x = 0 -5t + 0 = 19 + -1x + -14x -5t = 19 + -1x + -14x Combine like terms: -1x + -14x = -15x -5t = 19 + -15x Divide each side by '-5'. t = -3.8 + 3x Simplifying t = -3.8 + 3x
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