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Simplifying -0.4(3x + -1) + 8(0.8x + -0.3) = 5 + -1(3.8x + 4) Reorder the terms: -0.4(-1 + 3x) + 8(0.8x + -0.3) = 5 + -1(3.8x + 4) (-1 * -0.4 + 3x * -0.4) + 8(0.8x + -0.3) = 5 + -1(3.8x + 4) (0.4 + -1.2x) + 8(0.8x + -0.3) = 5 + -1(3.8x + 4) Reorder the terms: 0.4 + -1.2x + 8(-0.3 + 0.8x) = 5 + -1(3.8x + 4) 0.4 + -1.2x + (-0.3 * 8 + 0.8x * 8) = 5 + -1(3.8x + 4) 0.4 + -1.2x + (-2.4 + 6.4x) = 5 + -1(3.8x + 4) Reorder the terms: 0.4 + -2.4 + -1.2x + 6.4x = 5 + -1(3.8x + 4) Combine like terms: 0.4 + -2.4 = -2 -2 + -1.2x + 6.4x = 5 + -1(3.8x + 4) Combine like terms: -1.2x + 6.4x = 5.2x -2 + 5.2x = 5 + -1(3.8x + 4) Reorder the terms: -2 + 5.2x = 5 + -1(4 + 3.8x) -2 + 5.2x = 5 + (4 * -1 + 3.8x * -1) -2 + 5.2x = 5 + (-4 + -3.8x) Combine like terms: 5 + -4 = 1 -2 + 5.2x = 1 + -3.8x Solving -2 + 5.2x = 1 + -3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.8x' to each side of the equation. -2 + 5.2x + 3.8x = 1 + -3.8x + 3.8x Combine like terms: 5.2x + 3.8x = 9x -2 + 9x = 1 + -3.8x + 3.8x Combine like terms: -3.8x + 3.8x = 0.0 -2 + 9x = 1 + 0.0 -2 + 9x = 1 Add '2' to each side of the equation. -2 + 2 + 9x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 1 + 2 9x = 1 + 2 Combine like terms: 1 + 2 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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