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Simplifying 7 + -1(10 + -8x) = 23 + -1(4 + 14x) 7 + (10 * -1 + -8x * -1) = 23 + -1(4 + 14x) 7 + (-10 + 8x) = 23 + -1(4 + 14x) Combine like terms: 7 + -10 = -3 -3 + 8x = 23 + -1(4 + 14x) -3 + 8x = 23 + (4 * -1 + 14x * -1) -3 + 8x = 23 + (-4 + -14x) Combine like terms: 23 + -4 = 19 -3 + 8x = 19 + -14x Solving -3 + 8x = 19 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -3 + 8x + 14x = 19 + -14x + 14x Combine like terms: 8x + 14x = 22x -3 + 22x = 19 + -14x + 14x Combine like terms: -14x + 14x = 0 -3 + 22x = 19 + 0 -3 + 22x = 19 Add '3' to each side of the equation. -3 + 3 + 22x = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 22x = 19 + 3 22x = 19 + 3 Combine like terms: 19 + 3 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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