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Simplifying 3x + -12 + 4 = 3x + -4(4 + -1x) Reorder the terms: -12 + 4 + 3x = 3x + -4(4 + -1x) Combine like terms: -12 + 4 = -8 -8 + 3x = 3x + -4(4 + -1x) -8 + 3x = 3x + (4 * -4 + -1x * -4) -8 + 3x = 3x + (-16 + 4x) Reorder the terms: -8 + 3x = -16 + 3x + 4x Combine like terms: 3x + 4x = 7x -8 + 3x = -16 + 7x Solving -8 + 3x = -16 + 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. -8 + 3x + -7x = -16 + 7x + -7x Combine like terms: 3x + -7x = -4x -8 + -4x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -4x = -16 + 0 -8 + -4x = -16 Add '8' to each side of the equation. -8 + 8 + -4x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -16 + 8 -4x = -16 + 8 Combine like terms: -16 + 8 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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