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Simplifying 5(x + -4) + 2(x + 1) = 3(2 + -4x) + 12 Reorder the terms: 5(-4 + x) + 2(x + 1) = 3(2 + -4x) + 12 (-4 * 5 + x * 5) + 2(x + 1) = 3(2 + -4x) + 12 (-20 + 5x) + 2(x + 1) = 3(2 + -4x) + 12 Reorder the terms: -20 + 5x + 2(1 + x) = 3(2 + -4x) + 12 -20 + 5x + (1 * 2 + x * 2) = 3(2 + -4x) + 12 -20 + 5x + (2 + 2x) = 3(2 + -4x) + 12 Reorder the terms: -20 + 2 + 5x + 2x = 3(2 + -4x) + 12 Combine like terms: -20 + 2 = -18 -18 + 5x + 2x = 3(2 + -4x) + 12 Combine like terms: 5x + 2x = 7x -18 + 7x = 3(2 + -4x) + 12 -18 + 7x = (2 * 3 + -4x * 3) + 12 -18 + 7x = (6 + -12x) + 12 Reorder the terms: -18 + 7x = 6 + 12 + -12x Combine like terms: 6 + 12 = 18 -18 + 7x = 18 + -12x Solving -18 + 7x = 18 + -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. -18 + 7x + 12x = 18 + -12x + 12x Combine like terms: 7x + 12x = 19x -18 + 19x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -18 + 19x = 18 + 0 -18 + 19x = 18 Add '18' to each side of the equation. -18 + 18 + 19x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 19x = 18 + 18 19x = 18 + 18 Combine like terms: 18 + 18 = 36 19x = 36 Divide each side by '19'. x = 1.894736842 Simplifying x = 1.894736842
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