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Simplifying 3x + -1(8x + 3) = 7x + -15 Reorder the terms: 3x + -1(3 + 8x) = 7x + -15 3x + (3 * -1 + 8x * -1) = 7x + -15 3x + (-3 + -8x) = 7x + -15 Reorder the terms: -3 + 3x + -8x = 7x + -15 Combine like terms: 3x + -8x = -5x -3 + -5x = 7x + -15 Reorder the terms: -3 + -5x = -15 + 7x Solving -3 + -5x = -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. -3 + -5x + -7x = -15 + 7x + -7x Combine like terms: -5x + -7x = -12x -3 + -12x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -12x = -15 + 0 -3 + -12x = -15 Add '3' to each side of the equation. -3 + 3 + -12x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -15 + 3 -12x = -15 + 3 Combine like terms: -15 + 3 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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