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Simplifying (-0.75x + -8) + -1(1.5x + 8.4) = 0 Reorder the terms: (-8 + -0.75x) + -1(1.5x + 8.4) = 0 Remove parenthesis around (-8 + -0.75x) -8 + -0.75x + -1(1.5x + 8.4) = 0 Reorder the terms: -8 + -0.75x + -1(8.4 + 1.5x) = 0 -8 + -0.75x + (8.4 * -1 + 1.5x * -1) = 0 -8 + -0.75x + (-8.4 + -1.5x) = 0 Reorder the terms: -8 + -8.4 + -0.75x + -1.5x = 0 Combine like terms: -8 + -8.4 = -16.4 -16.4 + -0.75x + -1.5x = 0 Combine like terms: -0.75x + -1.5x = -2.25x -16.4 + -2.25x = 0 Solving -16.4 + -2.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16.4' to each side of the equation. -16.4 + 16.4 + -2.25x = 0 + 16.4 Combine like terms: -16.4 + 16.4 = 0.0 0.0 + -2.25x = 0 + 16.4 -2.25x = 0 + 16.4 Combine like terms: 0 + 16.4 = 16.4 -2.25x = 16.4 Divide each side by '-2.25'. x = -7.288888889 Simplifying x = -7.288888889
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