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Simplifying 0.15(x + -4) = 9.9 + -0.3(x + -1) Reorder the terms: 0.15(-4 + x) = 9.9 + -0.3(x + -1) (-4 * 0.15 + x * 0.15) = 9.9 + -0.3(x + -1) (-0.6 + 0.15x) = 9.9 + -0.3(x + -1) Reorder the terms: -0.6 + 0.15x = 9.9 + -0.3(-1 + x) -0.6 + 0.15x = 9.9 + (-1 * -0.3 + x * -0.3) -0.6 + 0.15x = 9.9 + (0.3 + -0.3x) Combine like terms: 9.9 + 0.3 = 10.2 -0.6 + 0.15x = 10.2 + -0.3x Solving -0.6 + 0.15x = 10.2 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -0.6 + 0.15x + 0.3x = 10.2 + -0.3x + 0.3x Combine like terms: 0.15x + 0.3x = 0.45x -0.6 + 0.45x = 10.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -0.6 + 0.45x = 10.2 + 0.0 -0.6 + 0.45x = 10.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.45x = 10.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.45x = 10.2 + 0.6 0.45x = 10.2 + 0.6 Combine like terms: 10.2 + 0.6 = 10.8 0.45x = 10.8 Divide each side by '0.45'. x = 24 Simplifying x = 24
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