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Simplifying 8 + -4x = 0.4(6 + 5.2x + 4) Reorder the terms: 8 + -4x = 0.4(6 + 4 + 5.2x) Combine like terms: 6 + 4 = 10 8 + -4x = 0.4(10 + 5.2x) 8 + -4x = (10 * 0.4 + 5.2x * 0.4) 8 + -4x = (4 + 2.08x) Solving 8 + -4x = 4 + 2.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.08x' to each side of the equation. 8 + -4x + -2.08x = 4 + 2.08x + -2.08x Combine like terms: -4x + -2.08x = -6.08x 8 + -6.08x = 4 + 2.08x + -2.08x Combine like terms: 2.08x + -2.08x = 0.00 8 + -6.08x = 4 + 0.00 8 + -6.08x = 4 Add '-8' to each side of the equation. 8 + -8 + -6.08x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -6.08x = 4 + -8 -6.08x = 4 + -8 Combine like terms: 4 + -8 = -4 -6.08x = -4 Divide each side by '-6.08'. x = 0.6578947368 Simplifying x = 0.6578947368
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