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Simplifying 0.3(x + -1) + -0.45x = 1 Reorder the terms: 0.3(-1 + x) + -0.45x = 1 (-1 * 0.3 + x * 0.3) + -0.45x = 1 (-0.3 + 0.3x) + -0.45x = 1 Combine like terms: 0.3x + -0.45x = -0.15x -0.3 + -0.15x = 1 Solving -0.3 + -0.15x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.15x = 1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.15x = 1 + 0.3 -0.15x = 1 + 0.3 Combine like terms: 1 + 0.3 = 1.3 -0.15x = 1.3 Divide each side by '-0.15'. x = -8.666666667 Simplifying x = -8.666666667
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