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Simplifying 0.4(2x + -0.8) = -10 + -1(4x + 3.15) Reorder the terms: 0.4(-0.8 + 2x) = -10 + -1(4x + 3.15) (-0.8 * 0.4 + 2x * 0.4) = -10 + -1(4x + 3.15) (-0.32 + 0.8x) = -10 + -1(4x + 3.15) Reorder the terms: -0.32 + 0.8x = -10 + -1(3.15 + 4x) -0.32 + 0.8x = -10 + (3.15 * -1 + 4x * -1) -0.32 + 0.8x = -10 + (-3.15 + -4x) Combine like terms: -10 + -3.15 = -13.15 -0.32 + 0.8x = -13.15 + -4x Solving -0.32 + 0.8x = -13.15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -0.32 + 0.8x + 4x = -13.15 + -4x + 4x Combine like terms: 0.8x + 4x = 4.8x -0.32 + 4.8x = -13.15 + -4x + 4x Combine like terms: -4x + 4x = 0 -0.32 + 4.8x = -13.15 + 0 -0.32 + 4.8x = -13.15 Add '0.32' to each side of the equation. -0.32 + 0.32 + 4.8x = -13.15 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 4.8x = -13.15 + 0.32 4.8x = -13.15 + 0.32 Combine like terms: -13.15 + 0.32 = -12.83 4.8x = -12.83 Divide each side by '4.8'. x = -2.672916667 Simplifying x = -2.672916667
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