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Simplifying 2x + 5 = 7 + -1(6x + -3) Reorder the terms: 5 + 2x = 7 + -1(6x + -3) Reorder the terms: 5 + 2x = 7 + -1(-3 + 6x) 5 + 2x = 7 + (-3 * -1 + 6x * -1) 5 + 2x = 7 + (3 + -6x) Combine like terms: 7 + 3 = 10 5 + 2x = 10 + -6x Solving 5 + 2x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 2x + 6x = 10 + -6x + 6x Combine like terms: 2x + 6x = 8x 5 + 8x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 8x = 10 + 0 5 + 8x = 10 Add '-5' to each side of the equation. 5 + -5 + 8x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 10 + -5 8x = 10 + -5 Combine like terms: 10 + -5 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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