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Simplifying 2x + 4(-3x + 4) = 106 Reorder the terms: 2x + 4(4 + -3x) = 106 2x + (4 * 4 + -3x * 4) = 106 2x + (16 + -12x) = 106 Reorder the terms: 16 + 2x + -12x = 106 Combine like terms: 2x + -12x = -10x 16 + -10x = 106 Solving 16 + -10x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -10x = 106 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = 106 + -16 -10x = 106 + -16 Combine like terms: 106 + -16 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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