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Simplifying 6x + 6.4 = 2(4x + -2.8) Reorder the terms: 6.4 + 6x = 2(4x + -2.8) Reorder the terms: 6.4 + 6x = 2(-2.8 + 4x) 6.4 + 6x = (-2.8 * 2 + 4x * 2) 6.4 + 6x = (-5.6 + 8x) Solving 6.4 + 6x = -5.6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6.4 + 6x + -8x = -5.6 + 8x + -8x Combine like terms: 6x + -8x = -2x 6.4 + -2x = -5.6 + 8x + -8x Combine like terms: 8x + -8x = 0 6.4 + -2x = -5.6 + 0 6.4 + -2x = -5.6 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -2x = -5.6 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -2x = -5.6 + -6.4 -2x = -5.6 + -6.4 Combine like terms: -5.6 + -6.4 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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