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Simplifying 3 + -4(3x + -1) = 15 + -4x Reorder the terms: 3 + -4(-1 + 3x) = 15 + -4x 3 + (-1 * -4 + 3x * -4) = 15 + -4x 3 + (4 + -12x) = 15 + -4x Combine like terms: 3 + 4 = 7 7 + -12x = 15 + -4x Solving 7 + -12x = 15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -12x + 4x = 15 + -4x + 4x Combine like terms: -12x + 4x = -8x 7 + -8x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -8x = 15 + 0 7 + -8x = 15 Add '-7' to each side of the equation. 7 + -7 + -8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 15 + -7 -8x = 15 + -7 Combine like terms: 15 + -7 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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