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Simplifying 2(3x + 5) + -7.5(2x + -1) = 3(4x + 1) Reorder the terms: 2(5 + 3x) + -7.5(2x + -1) = 3(4x + 1) (5 * 2 + 3x * 2) + -7.5(2x + -1) = 3(4x + 1) (10 + 6x) + -7.5(2x + -1) = 3(4x + 1) Reorder the terms: 10 + 6x + -7.5(-1 + 2x) = 3(4x + 1) 10 + 6x + (-1 * -7.5 + 2x * -7.5) = 3(4x + 1) 10 + 6x + (7.5 + -15x) = 3(4x + 1) Reorder the terms: 10 + 7.5 + 6x + -15x = 3(4x + 1) Combine like terms: 10 + 7.5 = 17.5 17.5 + 6x + -15x = 3(4x + 1) Combine like terms: 6x + -15x = -9x 17.5 + -9x = 3(4x + 1) Reorder the terms: 17.5 + -9x = 3(1 + 4x) 17.5 + -9x = (1 * 3 + 4x * 3) 17.5 + -9x = (3 + 12x) Solving 17.5 + -9x = 3 + 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. 17.5 + -9x + -12x = 3 + 12x + -12x Combine like terms: -9x + -12x = -21x 17.5 + -21x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 17.5 + -21x = 3 + 0 17.5 + -21x = 3 Add '-17.5' to each side of the equation. 17.5 + -17.5 + -21x = 3 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -21x = 3 + -17.5 -21x = 3 + -17.5 Combine like terms: 3 + -17.5 = -14.5 -21x = -14.5 Divide each side by '-21'. x = 0.6904761905 Simplifying x = 0.6904761905
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