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Simplifying 7(x + -5) + -5 = 17x + -140 Reorder the terms: 7(-5 + x) + -5 = 17x + -140 (-5 * 7 + x * 7) + -5 = 17x + -140 (-35 + 7x) + -5 = 17x + -140 Reorder the terms: -35 + -5 + 7x = 17x + -140 Combine like terms: -35 + -5 = -40 -40 + 7x = 17x + -140 Reorder the terms: -40 + 7x = -140 + 17x Solving -40 + 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. -40 + 7x + -17x = -140 + 17x + -17x Combine like terms: 7x + -17x = -10x -40 + -10x = -140 + 17x + -17x Combine like terms: 17x + -17x = 0 -40 + -10x = -140 + 0 -40 + -10x = -140 Add '40' to each side of the equation. -40 + 40 + -10x = -140 + 40 Combine like terms: -40 + 40 = 0 0 + -10x = -140 + 40 -10x = -140 + 40 Combine like terms: -140 + 40 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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