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Simplifying 10(2x + (3(x + -5) + -2(-1x + 7)) + 3(2x + -5)) + 20 = 150 Reorder the terms: 10(2x + (3(-5 + x) + -2(-1x + 7)) + 3(2x + -5)) + 20 = 150 10(2x + ((-5 * 3 + x * 3) + -2(-1x + 7)) + 3(2x + -5)) + 20 = 150 10(2x + ((-15 + 3x) + -2(-1x + 7)) + 3(2x + -5)) + 20 = 150 Reorder the terms: 10(2x + (-15 + 3x + -2(7 + -1x)) + 3(2x + -5)) + 20 = 150 10(2x + (-15 + 3x + (7 * -2 + -1x * -2)) + 3(2x + -5)) + 20 = 150 10(2x + (-15 + 3x + (-14 + 2x)) + 3(2x + -5)) + 20 = 150 Reorder the terms: 10(2x + (-15 + -14 + 3x + 2x) + 3(2x + -5)) + 20 = 150 Combine like terms: -15 + -14 = -29 10(2x + (-29 + 3x + 2x) + 3(2x + -5)) + 20 = 150 Combine like terms: 3x + 2x = 5x 10(2x + (-29 + 5x) + 3(2x + -5)) + 20 = 150 Remove parenthesis around (-29 + 5x) 10(2x + -29 + 5x + 3(2x + -5)) + 20 = 150 Reorder the terms: 10(2x + -29 + 5x + 3(-5 + 2x)) + 20 = 150 10(2x + -29 + 5x + (-5 * 3 + 2x * 3)) + 20 = 150 10(2x + -29 + 5x + (-15 + 6x)) + 20 = 150 Reorder the terms: 10(-29 + -15 + 2x + 5x + 6x) + 20 = 150 Combine like terms: -29 + -15 = -44 10(-44 + 2x + 5x + 6x) + 20 = 150 Combine like terms: 2x + 5x = 7x 10(-44 + 7x + 6x) + 20 = 150 Combine like terms: 7x + 6x = 13x 10(-44 + 13x) + 20 = 150 (-44 * 10 + 13x * 10) + 20 = 150 (-440 + 130x) + 20 = 150 Reorder the terms: -440 + 20 + 130x = 150 Combine like terms: -440 + 20 = -420 -420 + 130x = 150 Solving -420 + 130x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '420' to each side of the equation. -420 + 420 + 130x = 150 + 420 Combine like terms: -420 + 420 = 0 0 + 130x = 150 + 420 130x = 150 + 420 Combine like terms: 150 + 420 = 570 130x = 570 Divide each side by '130'. x = 4.384615385 Simplifying x = 4.384615385
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