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Simplifying 5x + 1 = 2(x + -5) + -7 Reorder the terms: 1 + 5x = 2(x + -5) + -7 Reorder the terms: 1 + 5x = 2(-5 + x) + -7 1 + 5x = (-5 * 2 + x * 2) + -7 1 + 5x = (-10 + 2x) + -7 Reorder the terms: 1 + 5x = -10 + -7 + 2x Combine like terms: -10 + -7 = -17 1 + 5x = -17 + 2x Solving 1 + 5x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 5x + -2x = -17 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = -17 + 0 1 + 3x = -17 Add '-1' to each side of the equation. 1 + -1 + 3x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -17 + -1 3x = -17 + -1 Combine like terms: -17 + -1 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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