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Simplifying 5(3x + -1) = 7(x + 1) Reorder the terms: 5(-1 + 3x) = 7(x + 1) (-1 * 5 + 3x * 5) = 7(x + 1) (-5 + 15x) = 7(x + 1) Reorder the terms: -5 + 15x = 7(1 + x) -5 + 15x = (1 * 7 + x * 7) -5 + 15x = (7 + 7x) Solving -5 + 15x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 15x + -7x = 7 + 7x + -7x Combine like terms: 15x + -7x = 8x -5 + 8x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 8x = 7 + 0 -5 + 8x = 7 Add '5' to each side of the equation. -5 + 5 + 8x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 7 + 5 8x = 7 + 5 Combine like terms: 7 + 5 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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