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Simplifying 5x + 2(3 + -1x) + 1 = 3(-5) + 7 5x + (3 * 2 + -1x * 2) + 1 = 3(-5) + 7 5x + (6 + -2x) + 1 = 3(-5) + 7 Reorder the terms: 6 + 1 + 5x + -2x = 3(-5) + 7 Combine like terms: 6 + 1 = 7 7 + 5x + -2x = 3(-5) + 7 Combine like terms: 5x + -2x = 3x 7 + 3x = 3(-5) + 7 Multiply 3 * -5 7 + 3x = -15 + 7 Combine like terms: -15 + 7 = -8 7 + 3x = -8 Solving 7 + 3x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -8 + -7 3x = -8 + -7 Combine like terms: -8 + -7 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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