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Simplifying 6x + 8.4 = 2(4x + -3.8) Reorder the terms: 8.4 + 6x = 2(4x + -3.8) Reorder the terms: 8.4 + 6x = 2(-3.8 + 4x) 8.4 + 6x = (-3.8 * 2 + 4x * 2) 8.4 + 6x = (-7.6 + 8x) Solving 8.4 + 6x = -7.6 + 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. 8.4 + 6x + -8x = -7.6 + 8x + -8x Combine like terms: 6x + -8x = -2x 8.4 + -2x = -7.6 + 8x + -8x Combine like terms: 8x + -8x = 0 8.4 + -2x = -7.6 + 0 8.4 + -2x = -7.6 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -2x = -7.6 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -2x = -7.6 + -8.4 -2x = -7.6 + -8.4 Combine like terms: -7.6 + -8.4 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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