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Simplifying 5(15 + 17x) + -14(10x + 72) = -13x + -11 + 44 (15 * 5 + 17x * 5) + -14(10x + 72) = -13x + -11 + 44 (75 + 85x) + -14(10x + 72) = -13x + -11 + 44 Reorder the terms: 75 + 85x + -14(72 + 10x) = -13x + -11 + 44 75 + 85x + (72 * -14 + 10x * -14) = -13x + -11 + 44 75 + 85x + (-1008 + -140x) = -13x + -11 + 44 Reorder the terms: 75 + -1008 + 85x + -140x = -13x + -11 + 44 Combine like terms: 75 + -1008 = -933 -933 + 85x + -140x = -13x + -11 + 44 Combine like terms: 85x + -140x = -55x -933 + -55x = -13x + -11 + 44 Reorder the terms: -933 + -55x = -11 + 44 + -13x Combine like terms: -11 + 44 = 33 -933 + -55x = 33 + -13x Solving -933 + -55x = 33 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -933 + -55x + 13x = 33 + -13x + 13x Combine like terms: -55x + 13x = -42x -933 + -42x = 33 + -13x + 13x Combine like terms: -13x + 13x = 0 -933 + -42x = 33 + 0 -933 + -42x = 33 Add '933' to each side of the equation. -933 + 933 + -42x = 33 + 933 Combine like terms: -933 + 933 = 0 0 + -42x = 33 + 933 -42x = 33 + 933 Combine like terms: 33 + 933 = 966 -42x = 966 Divide each side by '-42'. x = -23 Simplifying x = -23
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