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Simplifying 34 + 28x = 5(8x + -2) + 17 Reorder the terms: 34 + 28x = 5(-2 + 8x) + 17 34 + 28x = (-2 * 5 + 8x * 5) + 17 34 + 28x = (-10 + 40x) + 17 Reorder the terms: 34 + 28x = -10 + 17 + 40x Combine like terms: -10 + 17 = 7 34 + 28x = 7 + 40x Solving 34 + 28x = 7 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 34 + 28x + -40x = 7 + 40x + -40x Combine like terms: 28x + -40x = -12x 34 + -12x = 7 + 40x + -40x Combine like terms: 40x + -40x = 0 34 + -12x = 7 + 0 34 + -12x = 7 Add '-34' to each side of the equation. 34 + -34 + -12x = 7 + -34 Combine like terms: 34 + -34 = 0 0 + -12x = 7 + -34 -12x = 7 + -34 Combine like terms: 7 + -34 = -27 -12x = -27 Divide each side by '-12'. x = 2.25 Simplifying x = 2.25
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