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Simplifying 4(2 + -3x) + 6 = 2(3.5 + -3x) + 5 (2 * 4 + -3x * 4) + 6 = 2(3.5 + -3x) + 5 (8 + -12x) + 6 = 2(3.5 + -3x) + 5 Reorder the terms: 8 + 6 + -12x = 2(3.5 + -3x) + 5 Combine like terms: 8 + 6 = 14 14 + -12x = 2(3.5 + -3x) + 5 14 + -12x = (3.5 * 2 + -3x * 2) + 5 14 + -12x = (7 + -6x) + 5 Reorder the terms: 14 + -12x = 7 + 5 + -6x Combine like terms: 7 + 5 = 12 14 + -12x = 12 + -6x Solving 14 + -12x = 12 + -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. 14 + -12x + 6x = 12 + -6x + 6x Combine like terms: -12x + 6x = -6x 14 + -6x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + -6x = 12 + 0 14 + -6x = 12 Add '-14' to each side of the equation. 14 + -14 + -6x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 12 + -14 -6x = 12 + -14 Combine like terms: 12 + -14 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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