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Simplifying 2x + 44 = 4(3x + -2) + -8 Reorder the terms: 44 + 2x = 4(3x + -2) + -8 Reorder the terms: 44 + 2x = 4(-2 + 3x) + -8 44 + 2x = (-2 * 4 + 3x * 4) + -8 44 + 2x = (-8 + 12x) + -8 Reorder the terms: 44 + 2x = -8 + -8 + 12x Combine like terms: -8 + -8 = -16 44 + 2x = -16 + 12x Solving 44 + 2x = -16 + 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. 44 + 2x + -12x = -16 + 12x + -12x Combine like terms: 2x + -12x = -10x 44 + -10x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 44 + -10x = -16 + 0 44 + -10x = -16 Add '-44' to each side of the equation. 44 + -44 + -10x = -16 + -44 Combine like terms: 44 + -44 = 0 0 + -10x = -16 + -44 -10x = -16 + -44 Combine like terms: -16 + -44 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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