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Simplifying 5[4(3x + -2) + 9x] + -7(x + 5) = 170 Reorder the terms: 5[4(-2 + 3x) + 9x] + -7(x + 5) = 170 5[(-2 * 4 + 3x * 4) + 9x] + -7(x + 5) = 170 5[(-8 + 12x) + 9x] + -7(x + 5) = 170 Combine like terms: 12x + 9x = 21x 5[-8 + 21x] + -7(x + 5) = 170 [-8 * 5 + 21x * 5] + -7(x + 5) = 170 [-40 + 105x] + -7(x + 5) = 170 Reorder the terms: -40 + 105x + -7(5 + x) = 170 -40 + 105x + (5 * -7 + x * -7) = 170 -40 + 105x + (-35 + -7x) = 170 Reorder the terms: -40 + -35 + 105x + -7x = 170 Combine like terms: -40 + -35 = -75 -75 + 105x + -7x = 170 Combine like terms: 105x + -7x = 98x -75 + 98x = 170 Solving -75 + 98x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 98x = 170 + 75 Combine like terms: -75 + 75 = 0 0 + 98x = 170 + 75 98x = 170 + 75 Combine like terms: 170 + 75 = 245 98x = 245 Divide each side by '98'. x = 2.5 Simplifying x = 2.5
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