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Simplifying 35x + -5 = 7x + -1(-1) Reorder the terms: -5 + 35x = 7x + -1(-1) Multiply -1 * -1 -5 + 35x = 7x + 1 Reorder the terms: -5 + 35x = 1 + 7x Solving -5 + 35x = 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. -5 + 35x + -7x = 1 + 7x + -7x Combine like terms: 35x + -7x = 28x -5 + 28x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 28x = 1 + 0 -5 + 28x = 1 Add '5' to each side of the equation. -5 + 5 + 28x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 28x = 1 + 5 28x = 1 + 5 Combine like terms: 1 + 5 = 6 28x = 6 Divide each side by '28'. x = 0.2142857143 Simplifying x = 0.2142857143
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