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Simplifying 4(3 + -1x) + x = 16 + 2x + 6 (3 * 4 + -1x * 4) + x = 16 + 2x + 6 (12 + -4x) + x = 16 + 2x + 6 Combine like terms: -4x + x = -3x 12 + -3x = 16 + 2x + 6 Reorder the terms: 12 + -3x = 16 + 6 + 2x Combine like terms: 16 + 6 = 22 12 + -3x = 22 + 2x Solving 12 + -3x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -3x + -2x = 22 + 2x + -2x Combine like terms: -3x + -2x = -5x 12 + -5x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -5x = 22 + 0 12 + -5x = 22 Add '-12' to each side of the equation. 12 + -12 + -5x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 22 + -12 -5x = 22 + -12 Combine like terms: 22 + -12 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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