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Simplifying 0.4(2x + 8) + -0.4x = 0.2(4x + -12) + 6x Reorder the terms: 0.4(8 + 2x) + -0.4x = 0.2(4x + -12) + 6x (8 * 0.4 + 2x * 0.4) + -0.4x = 0.2(4x + -12) + 6x (3.2 + 0.8x) + -0.4x = 0.2(4x + -12) + 6x Combine like terms: 0.8x + -0.4x = 0.4x 3.2 + 0.4x = 0.2(4x + -12) + 6x Reorder the terms: 3.2 + 0.4x = 0.2(-12 + 4x) + 6x 3.2 + 0.4x = (-12 * 0.2 + 4x * 0.2) + 6x 3.2 + 0.4x = (-2.4 + 0.8x) + 6x Combine like terms: 0.8x + 6x = 6.8x 3.2 + 0.4x = -2.4 + 6.8x Solving 3.2 + 0.4x = -2.4 + 6.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.8x' to each side of the equation. 3.2 + 0.4x + -6.8x = -2.4 + 6.8x + -6.8x Combine like terms: 0.4x + -6.8x = -6.4x 3.2 + -6.4x = -2.4 + 6.8x + -6.8x Combine like terms: 6.8x + -6.8x = 0.0 3.2 + -6.4x = -2.4 + 0.0 3.2 + -6.4x = -2.4 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -6.4x = -2.4 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -6.4x = -2.4 + -3.2 -6.4x = -2.4 + -3.2 Combine like terms: -2.4 + -3.2 = -5.6 -6.4x = -5.6 Divide each side by '-6.4'. x = 0.875 Simplifying x = 0.875
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