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Simplifying 2(x + 3) + -3(4x + -5) = 7x + 1 Reorder the terms: 2(3 + x) + -3(4x + -5) = 7x + 1 (3 * 2 + x * 2) + -3(4x + -5) = 7x + 1 (6 + 2x) + -3(4x + -5) = 7x + 1 Reorder the terms: 6 + 2x + -3(-5 + 4x) = 7x + 1 6 + 2x + (-5 * -3 + 4x * -3) = 7x + 1 6 + 2x + (15 + -12x) = 7x + 1 Reorder the terms: 6 + 15 + 2x + -12x = 7x + 1 Combine like terms: 6 + 15 = 21 21 + 2x + -12x = 7x + 1 Combine like terms: 2x + -12x = -10x 21 + -10x = 7x + 1 Reorder the terms: 21 + -10x = 1 + 7x Solving 21 + -10x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + -10x + -7x = 1 + 7x + -7x Combine like terms: -10x + -7x = -17x 21 + -17x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -17x = 1 + 0 21 + -17x = 1 Add '-21' to each side of the equation. 21 + -21 + -17x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -17x = 1 + -21 -17x = 1 + -21 Combine like terms: 1 + -21 = -20 -17x = -20 Divide each side by '-17'. x = 1.176470588 Simplifying x = 1.176470588
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