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Simplifying 3x + 41 = 4(2x + -4) + 7 Reorder the terms: 41 + 3x = 4(2x + -4) + 7 Reorder the terms: 41 + 3x = 4(-4 + 2x) + 7 41 + 3x = (-4 * 4 + 2x * 4) + 7 41 + 3x = (-16 + 8x) + 7 Reorder the terms: 41 + 3x = -16 + 7 + 8x Combine like terms: -16 + 7 = -9 41 + 3x = -9 + 8x Solving 41 + 3x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 41 + 3x + -8x = -9 + 8x + -8x Combine like terms: 3x + -8x = -5x 41 + -5x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 41 + -5x = -9 + 0 41 + -5x = -9 Add '-41' to each side of the equation. 41 + -41 + -5x = -9 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = -9 + -41 -5x = -9 + -41 Combine like terms: -9 + -41 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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