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Simplifying 7x + 5 = 20(x + -7) + -3x Reorder the terms: 5 + 7x = 20(x + -7) + -3x Reorder the terms: 5 + 7x = 20(-7 + x) + -3x 5 + 7x = (-7 * 20 + x * 20) + -3x 5 + 7x = (-140 + 20x) + -3x Combine like terms: 20x + -3x = 17x 5 + 7x = -140 + 17x Solving 5 + 7x = -140 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 5 + 7x + -17x = -140 + 17x + -17x Combine like terms: 7x + -17x = -10x 5 + -10x = -140 + 17x + -17x Combine like terms: 17x + -17x = 0 5 + -10x = -140 + 0 5 + -10x = -140 Add '-5' to each side of the equation. 5 + -5 + -10x = -140 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -140 + -5 -10x = -140 + -5 Combine like terms: -140 + -5 = -145 -10x = -145 Divide each side by '-10'. x = 14.5 Simplifying x = 14.5
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