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Simplifying -2x + 5x + -9 = 3(t + -4) + -5 Reorder the terms: -9 + -2x + 5x = 3(t + -4) + -5 Combine like terms: -2x + 5x = 3x -9 + 3x = 3(t + -4) + -5 Reorder the terms: -9 + 3x = 3(-4 + t) + -5 -9 + 3x = (-4 * 3 + t * 3) + -5 -9 + 3x = (-12 + 3t) + -5 Reorder the terms: -9 + 3x = -12 + -5 + 3t Combine like terms: -12 + -5 = -17 -9 + 3x = -17 + 3t Solving -9 + 3x = -17 + 3t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3x = -17 + 9 + 3t Combine like terms: -9 + 9 = 0 0 + 3x = -17 + 9 + 3t 3x = -17 + 9 + 3t Combine like terms: -17 + 9 = -8 3x = -8 + 3t Divide each side by '3'. x = -2.666666667 + t Simplifying x = -2.666666667 + t
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