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Simplifying 3(4x + -3) + -1(x + 3) = 5(10 + -1x) + 2 Reorder the terms: 3(-3 + 4x) + -1(x + 3) = 5(10 + -1x) + 2 (-3 * 3 + 4x * 3) + -1(x + 3) = 5(10 + -1x) + 2 (-9 + 12x) + -1(x + 3) = 5(10 + -1x) + 2 Reorder the terms: -9 + 12x + -1(3 + x) = 5(10 + -1x) + 2 -9 + 12x + (3 * -1 + x * -1) = 5(10 + -1x) + 2 -9 + 12x + (-3 + -1x) = 5(10 + -1x) + 2 Reorder the terms: -9 + -3 + 12x + -1x = 5(10 + -1x) + 2 Combine like terms: -9 + -3 = -12 -12 + 12x + -1x = 5(10 + -1x) + 2 Combine like terms: 12x + -1x = 11x -12 + 11x = 5(10 + -1x) + 2 -12 + 11x = (10 * 5 + -1x * 5) + 2 -12 + 11x = (50 + -5x) + 2 Reorder the terms: -12 + 11x = 50 + 2 + -5x Combine like terms: 50 + 2 = 52 -12 + 11x = 52 + -5x Solving -12 + 11x = 52 + -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. -12 + 11x + 5x = 52 + -5x + 5x Combine like terms: 11x + 5x = 16x -12 + 16x = 52 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 16x = 52 + 0 -12 + 16x = 52 Add '12' to each side of the equation. -12 + 12 + 16x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 52 + 12 16x = 52 + 12 Combine like terms: 52 + 12 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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