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Simplifying -3x + 7 = 5 + -1(10x + 7) Reorder the terms: 7 + -3x = 5 + -1(10x + 7) Reorder the terms: 7 + -3x = 5 + -1(7 + 10x) 7 + -3x = 5 + (7 * -1 + 10x * -1) 7 + -3x = 5 + (-7 + -10x) Combine like terms: 5 + -7 = -2 7 + -3x = -2 + -10x Solving 7 + -3x = -2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7 + -3x + 10x = -2 + -10x + 10x Combine like terms: -3x + 10x = 7x 7 + 7x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 7x = -2 + 0 7 + 7x = -2 Add '-7' to each side of the equation. 7 + -7 + 7x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -2 + -7 7x = -2 + -7 Combine like terms: -2 + -7 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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