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Simplifying 2.5(6x + 4) + -5 = 12x + 35 Reorder the terms: 2.5(4 + 6x) + -5 = 12x + 35 (4 * 2.5 + 6x * 2.5) + -5 = 12x + 35 (10 + 15x) + -5 = 12x + 35 Reorder the terms: 10 + -5 + 15x = 12x + 35 Combine like terms: 10 + -5 = 5 5 + 15x = 12x + 35 Reorder the terms: 5 + 15x = 35 + 12x Solving 5 + 15x = 35 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 15x + -12x = 35 + 12x + -12x Combine like terms: 15x + -12x = 3x 5 + 3x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + 3x = 35 + 0 5 + 3x = 35 Add '-5' to each side of the equation. 5 + -5 + 3x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 35 + -5 3x = 35 + -5 Combine like terms: 35 + -5 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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