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Simplifying 4x + 7.8 = 2(3x + -3.1) Reorder the terms: 7.8 + 4x = 2(3x + -3.1) Reorder the terms: 7.8 + 4x = 2(-3.1 + 3x) 7.8 + 4x = (-3.1 * 2 + 3x * 2) 7.8 + 4x = (-6.2 + 6x) Solving 7.8 + 4x = -6.2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7.8 + 4x + -6x = -6.2 + 6x + -6x Combine like terms: 4x + -6x = -2x 7.8 + -2x = -6.2 + 6x + -6x Combine like terms: 6x + -6x = 0 7.8 + -2x = -6.2 + 0 7.8 + -2x = -6.2 Add '-7.8' to each side of the equation. 7.8 + -7.8 + -2x = -6.2 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -2x = -6.2 + -7.8 -2x = -6.2 + -7.8 Combine like terms: -6.2 + -7.8 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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