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Simplifying 3(x + -4) + -2(4 + -2x) = 6(x + 2) + -5 Reorder the terms: 3(-4 + x) + -2(4 + -2x) = 6(x + 2) + -5 (-4 * 3 + x * 3) + -2(4 + -2x) = 6(x + 2) + -5 (-12 + 3x) + -2(4 + -2x) = 6(x + 2) + -5 -12 + 3x + (4 * -2 + -2x * -2) = 6(x + 2) + -5 -12 + 3x + (-8 + 4x) = 6(x + 2) + -5 Reorder the terms: -12 + -8 + 3x + 4x = 6(x + 2) + -5 Combine like terms: -12 + -8 = -20 -20 + 3x + 4x = 6(x + 2) + -5 Combine like terms: 3x + 4x = 7x -20 + 7x = 6(x + 2) + -5 Reorder the terms: -20 + 7x = 6(2 + x) + -5 -20 + 7x = (2 * 6 + x * 6) + -5 -20 + 7x = (12 + 6x) + -5 Reorder the terms: -20 + 7x = 12 + -5 + 6x Combine like terms: 12 + -5 = 7 -20 + 7x = 7 + 6x Solving -20 + 7x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 7x + -6x = 7 + 6x + -6x Combine like terms: 7x + -6x = 1x -20 + 1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 1x = 7 + 0 -20 + 1x = 7 Add '20' to each side of the equation. -20 + 20 + 1x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 7 + 20 1x = 7 + 20 Combine like terms: 7 + 20 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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