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Simplifying -5(4x + 8) + -6(3 + -1x) + 12(2x + 4) = 0 Reorder the terms: -5(8 + 4x) + -6(3 + -1x) + 12(2x + 4) = 0 (8 * -5 + 4x * -5) + -6(3 + -1x) + 12(2x + 4) = 0 (-40 + -20x) + -6(3 + -1x) + 12(2x + 4) = 0 -40 + -20x + (3 * -6 + -1x * -6) + 12(2x + 4) = 0 -40 + -20x + (-18 + 6x) + 12(2x + 4) = 0 Reorder the terms: -40 + -20x + -18 + 6x + 12(4 + 2x) = 0 -40 + -20x + -18 + 6x + (4 * 12 + 2x * 12) = 0 -40 + -20x + -18 + 6x + (48 + 24x) = 0 Reorder the terms: -40 + -18 + 48 + -20x + 6x + 24x = 0 Combine like terms: -40 + -18 = -58 -58 + 48 + -20x + 6x + 24x = 0 Combine like terms: -58 + 48 = -10 -10 + -20x + 6x + 24x = 0 Combine like terms: -20x + 6x = -14x -10 + -14x + 24x = 0 Combine like terms: -14x + 24x = 10x -10 + 10x = 0 Solving -10 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 0 + 10 10x = 0 + 10 Combine like terms: 0 + 10 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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