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Simplifying 7(3x + -2) + -2(2x + 1) = 2 + 5x Reorder the terms: 7(-2 + 3x) + -2(2x + 1) = 2 + 5x (-2 * 7 + 3x * 7) + -2(2x + 1) = 2 + 5x (-14 + 21x) + -2(2x + 1) = 2 + 5x Reorder the terms: -14 + 21x + -2(1 + 2x) = 2 + 5x -14 + 21x + (1 * -2 + 2x * -2) = 2 + 5x -14 + 21x + (-2 + -4x) = 2 + 5x Reorder the terms: -14 + -2 + 21x + -4x = 2 + 5x Combine like terms: -14 + -2 = -16 -16 + 21x + -4x = 2 + 5x Combine like terms: 21x + -4x = 17x -16 + 17x = 2 + 5x Solving -16 + 17x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 17x + -5x = 2 + 5x + -5x Combine like terms: 17x + -5x = 12x -16 + 12x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 12x = 2 + 0 -16 + 12x = 2 Add '16' to each side of the equation. -16 + 16 + 12x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 2 + 16 12x = 2 + 16 Combine like terms: 2 + 16 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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