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Simplifying 2(4 + 3.5x) = 3.4(x + -2.6) (4 * 2 + 3.5x * 2) = 3.4(x + -2.6) (8 + 7x) = 3.4(x + -2.6) Reorder the terms: 8 + 7x = 3.4(-2.6 + x) 8 + 7x = (-2.6 * 3.4 + x * 3.4) 8 + 7x = (-8.84 + 3.4x) Solving 8 + 7x = -8.84 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. 8 + 7x + -3.4x = -8.84 + 3.4x + -3.4x Combine like terms: 7x + -3.4x = 3.6x 8 + 3.6x = -8.84 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 8 + 3.6x = -8.84 + 0.0 8 + 3.6x = -8.84 Add '-8' to each side of the equation. 8 + -8 + 3.6x = -8.84 + -8 Combine like terms: 8 + -8 = 0 0 + 3.6x = -8.84 + -8 3.6x = -8.84 + -8 Combine like terms: -8.84 + -8 = -16.84 3.6x = -16.84 Divide each side by '3.6'. x = -4.677777778 Simplifying x = -4.677777778
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