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Simplifying 3(4x + -3) = 3 + -4(x + -1) Reorder the terms: 3(-3 + 4x) = 3 + -4(x + -1) (-3 * 3 + 4x * 3) = 3 + -4(x + -1) (-9 + 12x) = 3 + -4(x + -1) Reorder the terms: -9 + 12x = 3 + -4(-1 + x) -9 + 12x = 3 + (-1 * -4 + x * -4) -9 + 12x = 3 + (4 + -4x) Combine like terms: 3 + 4 = 7 -9 + 12x = 7 + -4x Solving -9 + 12x = 7 + -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. -9 + 12x + 4x = 7 + -4x + 4x Combine like terms: 12x + 4x = 16x -9 + 16x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 16x = 7 + 0 -9 + 16x = 7 Add '9' to each side of the equation. -9 + 9 + 16x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 7 + 9 16x = 7 + 9 Combine like terms: 7 + 9 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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