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Simplifying 10(2x + -4) + -6(4 + x) + -9 = x Reorder the terms: 10(-4 + 2x) + -6(4 + x) + -9 = x (-4 * 10 + 2x * 10) + -6(4 + x) + -9 = x (-40 + 20x) + -6(4 + x) + -9 = x -40 + 20x + (4 * -6 + x * -6) + -9 = x -40 + 20x + (-24 + -6x) + -9 = x Reorder the terms: -40 + -24 + -9 + 20x + -6x = x Combine like terms: -40 + -24 = -64 -64 + -9 + 20x + -6x = x Combine like terms: -64 + -9 = -73 -73 + 20x + -6x = x Combine like terms: 20x + -6x = 14x -73 + 14x = x Solving -73 + 14x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -73 + 14x + -1x = x + -1x Combine like terms: 14x + -1x = 13x -73 + 13x = x + -1x Combine like terms: x + -1x = 0 -73 + 13x = 0 Add '73' to each side of the equation. -73 + 73 + 13x = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 13x = 0 + 73 13x = 0 + 73 Combine like terms: 0 + 73 = 73 13x = 73 Divide each side by '13'. x = 5.615384615 Simplifying x = 5.615384615
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