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Simplifying 6x + 7.6 = 2(4x + -3.2) Reorder the terms: 7.6 + 6x = 2(4x + -3.2) Reorder the terms: 7.6 + 6x = 2(-3.2 + 4x) 7.6 + 6x = (-3.2 * 2 + 4x * 2) 7.6 + 6x = (-6.4 + 8x) Solving 7.6 + 6x = -6.4 + 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. 7.6 + 6x + -8x = -6.4 + 8x + -8x Combine like terms: 6x + -8x = -2x 7.6 + -2x = -6.4 + 8x + -8x Combine like terms: 8x + -8x = 0 7.6 + -2x = -6.4 + 0 7.6 + -2x = -6.4 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -2x = -6.4 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -2x = -6.4 + -7.6 -2x = -6.4 + -7.6 Combine like terms: -6.4 + -7.6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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