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Simplifying (-0.5x + -4) + -1(1.5x + 2.3) = 0 Reorder the terms: (-4 + -0.5x) + -1(1.5x + 2.3) = 0 Remove parenthesis around (-4 + -0.5x) -4 + -0.5x + -1(1.5x + 2.3) = 0 Reorder the terms: -4 + -0.5x + -1(2.3 + 1.5x) = 0 -4 + -0.5x + (2.3 * -1 + 1.5x * -1) = 0 -4 + -0.5x + (-2.3 + -1.5x) = 0 Reorder the terms: -4 + -2.3 + -0.5x + -1.5x = 0 Combine like terms: -4 + -2.3 = -6.3 -6.3 + -0.5x + -1.5x = 0 Combine like terms: -0.5x + -1.5x = -2x -6.3 + -2x = 0 Solving -6.3 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.3' to each side of the equation. -6.3 + 6.3 + -2x = 0 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + -2x = 0 + 6.3 -2x = 0 + 6.3 Combine like terms: 0 + 6.3 = 6.3 -2x = 6.3 Divide each side by '-2'. x = -3.15 Simplifying x = -3.15
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