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Simplifying 8(-5 + 1.25x) + -105(0.6x + 1) = 0 (-5 * 8 + 1.25x * 8) + -105(0.6x + 1) = 0 (-40 + 10x) + -105(0.6x + 1) = 0 Reorder the terms: -40 + 10x + -105(1 + 0.6x) = 0 -40 + 10x + (1 * -105 + 0.6x * -105) = 0 -40 + 10x + (-105 + -63x) = 0 Reorder the terms: -40 + -105 + 10x + -63x = 0 Combine like terms: -40 + -105 = -145 -145 + 10x + -63x = 0 Combine like terms: 10x + -63x = -53x -145 + -53x = 0 Solving -145 + -53x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '145' to each side of the equation. -145 + 145 + -53x = 0 + 145 Combine like terms: -145 + 145 = 0 0 + -53x = 0 + 145 -53x = 0 + 145 Combine like terms: 0 + 145 = 145 -53x = 145 Divide each side by '-53'. x = -2.735849057 Simplifying x = -2.735849057
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