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Simplifying -5.1x + (7 + 4x) = 2(3x + -8.6) Remove parenthesis around (7 + 4x) -5.1x + 7 + 4x = 2(3x + -8.6) Reorder the terms: 7 + -5.1x + 4x = 2(3x + -8.6) Combine like terms: -5.1x + 4x = -1.1x 7 + -1.1x = 2(3x + -8.6) Reorder the terms: 7 + -1.1x = 2(-8.6 + 3x) 7 + -1.1x = (-8.6 * 2 + 3x * 2) 7 + -1.1x = (-17.2 + 6x) Solving 7 + -1.1x = -17.2 + 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 + -1.1x + -6x = -17.2 + 6x + -6x Combine like terms: -1.1x + -6x = -7.1x 7 + -7.1x = -17.2 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -7.1x = -17.2 + 0 7 + -7.1x = -17.2 Add '-7' to each side of the equation. 7 + -7 + -7.1x = -17.2 + -7 Combine like terms: 7 + -7 = 0 0 + -7.1x = -17.2 + -7 -7.1x = -17.2 + -7 Combine like terms: -17.2 + -7 = -24.2 -7.1x = -24.2 Divide each side by '-7.1'. x = 3.408450704 Simplifying x = 3.408450704
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