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Simplifying 15x + -1(12x + 1) = 7x + -15 Reorder the terms: 15x + -1(1 + 12x) = 7x + -15 15x + (1 * -1 + 12x * -1) = 7x + -15 15x + (-1 + -12x) = 7x + -15 Reorder the terms: -1 + 15x + -12x = 7x + -15 Combine like terms: 15x + -12x = 3x -1 + 3x = 7x + -15 Reorder the terms: -1 + 3x = -15 + 7x Solving -1 + 3x = -15 + 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. -1 + 3x + -7x = -15 + 7x + -7x Combine like terms: 3x + -7x = -4x -1 + -4x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -4x = -15 + 0 -1 + -4x = -15 Add '1' to each side of the equation. -1 + 1 + -4x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -15 + 1 -4x = -15 + 1 Combine like terms: -15 + 1 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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