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Simplifying 2x + (3x + 7) + 7x + -2(4x) = 3x + 4x + 5 Reorder the terms: 2x + (7 + 3x) + 7x + -2(4x) = 3x + 4x + 5 Remove parenthesis around (7 + 3x) 2x + 7 + 3x + 7x + -2(4x) = 3x + 4x + 5 Remove parenthesis around (4x) 2x + 7 + 3x + 7x + -2 * 4x = 3x + 4x + 5 Multiply -2 * 4 2x + 7 + 3x + 7x + -8x = 3x + 4x + 5 Reorder the terms: 7 + 2x + 3x + 7x + -8x = 3x + 4x + 5 Combine like terms: 2x + 3x = 5x 7 + 5x + 7x + -8x = 3x + 4x + 5 Combine like terms: 5x + 7x = 12x 7 + 12x + -8x = 3x + 4x + 5 Combine like terms: 12x + -8x = 4x 7 + 4x = 3x + 4x + 5 Reorder the terms: 7 + 4x = 5 + 3x + 4x Combine like terms: 3x + 4x = 7x 7 + 4x = 5 + 7x Solving 7 + 4x = 5 + 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. 7 + 4x + -7x = 5 + 7x + -7x Combine like terms: 4x + -7x = -3x 7 + -3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -3x = 5 + 0 7 + -3x = 5 Add '-7' to each side of the equation. 7 + -7 + -3x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 5 + -7 -3x = 5 + -7 Combine like terms: 5 + -7 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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