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Simplifying -3(3x + 15) + -1(10tx) = 35 Reorder the terms: -3(15 + 3x) + -1(10tx) = 35 (15 * -3 + 3x * -3) + -1(10tx) = 35 (-45 + -9x) + -1(10tx) = 35 Remove parenthesis around (10tx) -45 + -9x + -1 * 10tx = 35 Multiply -1 * 10 -45 + -9x + -10tx = 35 Reorder the terms: -45 + -10tx + -9x = 35 Solving -45 + -10tx + -9x = 35 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '45' to each side of the equation. -45 + -10tx + 45 + -9x = 35 + 45 Reorder the terms: -45 + 45 + -10tx + -9x = 35 + 45 Combine like terms: -45 + 45 = 0 0 + -10tx + -9x = 35 + 45 -10tx + -9x = 35 + 45 Combine like terms: 35 + 45 = 80 -10tx + -9x = 80 Add '9x' to each side of the equation. -10tx + -9x + 9x = 80 + 9x Combine like terms: -9x + 9x = 0 -10tx + 0 = 80 + 9x -10tx = 80 + 9x Divide each side by '-10x'. t = -8x-1 + -0.9 Simplifying t = -8x-1 + -0.9 Reorder the terms: t = -0.9 + -8x-1
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