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Simplifying 4(3x + -3) + -41 = 5x + 3 Reorder the terms: 4(-3 + 3x) + -41 = 5x + 3 (-3 * 4 + 3x * 4) + -41 = 5x + 3 (-12 + 12x) + -41 = 5x + 3 Reorder the terms: -12 + -41 + 12x = 5x + 3 Combine like terms: -12 + -41 = -53 -53 + 12x = 5x + 3 Reorder the terms: -53 + 12x = 3 + 5x Solving -53 + 12x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -53 + 12x + -5x = 3 + 5x + -5x Combine like terms: 12x + -5x = 7x -53 + 7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -53 + 7x = 3 + 0 -53 + 7x = 3 Add '53' to each side of the equation. -53 + 53 + 7x = 3 + 53 Combine like terms: -53 + 53 = 0 0 + 7x = 3 + 53 7x = 3 + 53 Combine like terms: 3 + 53 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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