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Simplifying 7x + 1 = 3(5x + -1) Reorder the terms: 1 + 7x = 3(5x + -1) Reorder the terms: 1 + 7x = 3(-1 + 5x) 1 + 7x = (-1 * 3 + 5x * 3) 1 + 7x = (-3 + 15x) Solving 1 + 7x = -3 + 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. 1 + 7x + -15x = -3 + 15x + -15x Combine like terms: 7x + -15x = -8x 1 + -8x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -8x = -3 + 0 1 + -8x = -3 Add '-1' to each side of the equation. 1 + -1 + -8x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -3 + -1 -8x = -3 + -1 Combine like terms: -3 + -1 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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