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Simplifying 34 + 8x = -7(2 + -4x) + -4x 34 + 8x = (2 * -7 + -4x * -7) + -4x 34 + 8x = (-14 + 28x) + -4x Combine like terms: 28x + -4x = 24x 34 + 8x = -14 + 24x Solving 34 + 8x = -14 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 34 + 8x + -24x = -14 + 24x + -24x Combine like terms: 8x + -24x = -16x 34 + -16x = -14 + 24x + -24x Combine like terms: 24x + -24x = 0 34 + -16x = -14 + 0 34 + -16x = -14 Add '-34' to each side of the equation. 34 + -34 + -16x = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -16x = -14 + -34 -16x = -14 + -34 Combine like terms: -14 + -34 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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