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Simplifying 3(5x + -12) = 41 + -3(x + 2) Reorder the terms: 3(-12 + 5x) = 41 + -3(x + 2) (-12 * 3 + 5x * 3) = 41 + -3(x + 2) (-36 + 15x) = 41 + -3(x + 2) Reorder the terms: -36 + 15x = 41 + -3(2 + x) -36 + 15x = 41 + (2 * -3 + x * -3) -36 + 15x = 41 + (-6 + -3x) Combine like terms: 41 + -6 = 35 -36 + 15x = 35 + -3x Solving -36 + 15x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -36 + 15x + 3x = 35 + -3x + 3x Combine like terms: 15x + 3x = 18x -36 + 18x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + 18x = 35 + 0 -36 + 18x = 35 Add '36' to each side of the equation. -36 + 36 + 18x = 35 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = 35 + 36 18x = 35 + 36 Combine like terms: 35 + 36 = 71 18x = 71 Divide each side by '18'. x = 3.944444444 Simplifying x = 3.944444444
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