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Simplifying 2x + -1(2) + 3x + 7(2) = 5x + 3x + -7 + 4x + 1 Multiply -1 * 2 2x + -2 + 3x + 7(2) = 5x + 3x + -7 + 4x + 1 Multiply 7 * 2 2x + -2 + 3x + 14 = 5x + 3x + -7 + 4x + 1 Reorder the terms: -2 + 14 + 2x + 3x = 5x + 3x + -7 + 4x + 1 Combine like terms: -2 + 14 = 12 12 + 2x + 3x = 5x + 3x + -7 + 4x + 1 Combine like terms: 2x + 3x = 5x 12 + 5x = 5x + 3x + -7 + 4x + 1 Reorder the terms: 12 + 5x = -7 + 1 + 5x + 3x + 4x Combine like terms: -7 + 1 = -6 12 + 5x = -6 + 5x + 3x + 4x Combine like terms: 5x + 3x = 8x 12 + 5x = -6 + 8x + 4x Combine like terms: 8x + 4x = 12x 12 + 5x = -6 + 12x Solving 12 + 5x = -6 + 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. 12 + 5x + -12x = -6 + 12x + -12x Combine like terms: 5x + -12x = -7x 12 + -7x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -7x = -6 + 0 12 + -7x = -6 Add '-12' to each side of the equation. 12 + -12 + -7x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -6 + -12 -7x = -6 + -12 Combine like terms: -6 + -12 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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