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Simplifying 2x + -8 = 7 + -3(5x + 1) Reorder the terms: -8 + 2x = 7 + -3(5x + 1) Reorder the terms: -8 + 2x = 7 + -3(1 + 5x) -8 + 2x = 7 + (1 * -3 + 5x * -3) -8 + 2x = 7 + (-3 + -15x) Combine like terms: 7 + -3 = 4 -8 + 2x = 4 + -15x Solving -8 + 2x = 4 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -8 + 2x + 15x = 4 + -15x + 15x Combine like terms: 2x + 15x = 17x -8 + 17x = 4 + -15x + 15x Combine like terms: -15x + 15x = 0 -8 + 17x = 4 + 0 -8 + 17x = 4 Add '8' to each side of the equation. -8 + 8 + 17x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = 4 + 8 17x = 4 + 8 Combine like terms: 4 + 8 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529
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