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Simplifying 3 + -4(x + 1) = 12x + 3 Reorder the terms: 3 + -4(1 + x) = 12x + 3 3 + (1 * -4 + x * -4) = 12x + 3 3 + (-4 + -4x) = 12x + 3 Combine like terms: 3 + -4 = -1 -1 + -4x = 12x + 3 Reorder the terms: -1 + -4x = 3 + 12x Solving -1 + -4x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + -4x + -12x = 3 + 12x + -12x Combine like terms: -4x + -12x = -16x -1 + -16x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -16x = 3 + 0 -1 + -16x = 3 Add '1' to each side of the equation. -1 + 1 + -16x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -16x = 3 + 1 -16x = 3 + 1 Combine like terms: 3 + 1 = 4 -16x = 4 Divide each side by '-16'. x = -0.25 Simplifying x = -0.25
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