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Simplifying -34 + 3x = 7(4 + -4x) -34 + 3x = (4 * 7 + -4x * 7) -34 + 3x = (28 + -28x) Solving -34 + 3x = 28 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -34 + 3x + 28x = 28 + -28x + 28x Combine like terms: 3x + 28x = 31x -34 + 31x = 28 + -28x + 28x Combine like terms: -28x + 28x = 0 -34 + 31x = 28 + 0 -34 + 31x = 28 Add '34' to each side of the equation. -34 + 34 + 31x = 28 + 34 Combine like terms: -34 + 34 = 0 0 + 31x = 28 + 34 31x = 28 + 34 Combine like terms: 28 + 34 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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