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Simplifying x(2) + 2x(3) + 3x(4) = 2 + -1x(12) Reorder the terms for easier multiplication: 2x + 2x(3) + 3x(4) = 2 + -1x(12) Reorder the terms for easier multiplication: 2x + 2 * 3x + 3x(4) = 2 + -1x(12) Multiply 2 * 3 2x + 6x + 3x(4) = 2 + -1x(12) Reorder the terms for easier multiplication: 2x + 6x + 3 * 4x = 2 + -1x(12) Multiply 3 * 4 2x + 6x + 12x = 2 + -1x(12) Combine like terms: 2x + 6x = 8x 8x + 12x = 2 + -1x(12) Combine like terms: 8x + 12x = 20x 20x = 2 + -1x(12) Reorder the terms for easier multiplication: 20x = 2 + -1 * 12x Multiply -1 * 12 20x = 2 + -12x Solving 20x = 2 + -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. 20x + 12x = 2 + -12x + 12x Combine like terms: 20x + 12x = 32x 32x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 32x = 2 + 0 32x = 2 Divide each side by '32'. x = 0.0625 Simplifying x = 0.0625
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