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Simplifying 0.32(1 + -1x) + -0.7(x + 4) = -0.44 (1 * 0.32 + -1x * 0.32) + -0.7(x + 4) = -0.44 (0.32 + -0.32x) + -0.7(x + 4) = -0.44 Reorder the terms: 0.32 + -0.32x + -0.7(4 + x) = -0.44 0.32 + -0.32x + (4 * -0.7 + x * -0.7) = -0.44 0.32 + -0.32x + (-2.8 + -0.7x) = -0.44 Reorder the terms: 0.32 + -2.8 + -0.32x + -0.7x = -0.44 Combine like terms: 0.32 + -2.8 = -2.48 -2.48 + -0.32x + -0.7x = -0.44 Combine like terms: -0.32x + -0.7x = -1.02x -2.48 + -1.02x = -0.44 Solving -2.48 + -1.02x = -0.44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.48' to each side of the equation. -2.48 + 2.48 + -1.02x = -0.44 + 2.48 Combine like terms: -2.48 + 2.48 = 0.00 0.00 + -1.02x = -0.44 + 2.48 -1.02x = -0.44 + 2.48 Combine like terms: -0.44 + 2.48 = 2.04 -1.02x = 2.04 Divide each side by '-1.02'. x = -2 Simplifying x = -2
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