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Simplifying 1 + (7x + -3) = 7(-3x + 5) + 2 Reorder the terms: 1 + (-3 + 7x) = 7(-3x + 5) + 2 Remove parenthesis around (-3 + 7x) 1 + -3 + 7x = 7(-3x + 5) + 2 Combine like terms: 1 + -3 = -2 -2 + 7x = 7(-3x + 5) + 2 Reorder the terms: -2 + 7x = 7(5 + -3x) + 2 -2 + 7x = (5 * 7 + -3x * 7) + 2 -2 + 7x = (35 + -21x) + 2 Reorder the terms: -2 + 7x = 35 + 2 + -21x Combine like terms: 35 + 2 = 37 -2 + 7x = 37 + -21x Solving -2 + 7x = 37 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -2 + 7x + 21x = 37 + -21x + 21x Combine like terms: 7x + 21x = 28x -2 + 28x = 37 + -21x + 21x Combine like terms: -21x + 21x = 0 -2 + 28x = 37 + 0 -2 + 28x = 37 Add '2' to each side of the equation. -2 + 2 + 28x = 37 + 2 Combine like terms: -2 + 2 = 0 0 + 28x = 37 + 2 28x = 37 + 2 Combine like terms: 37 + 2 = 39 28x = 39 Divide each side by '28'. x = 1.392857143 Simplifying x = 1.392857143
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