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Simplifying -3x + 7 = 5 + -1(10x + 4) Reorder the terms: 7 + -3x = 5 + -1(10x + 4) Reorder the terms: 7 + -3x = 5 + -1(4 + 10x) 7 + -3x = 5 + (4 * -1 + 10x * -1) 7 + -3x = 5 + (-4 + -10x) Combine like terms: 5 + -4 = 1 7 + -3x = 1 + -10x Solving 7 + -3x = 1 + -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 = 1 + -10x + 10x Combine like terms: -3x + 10x = 7x 7 + 7x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 7x = 1 + 0 7 + 7x = 1 Add '-7' to each side of the equation. 7 + -7 + 7x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 1 + -7 7x = 1 + -7 Combine like terms: 1 + -7 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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