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Simplifying -4x + 34 = 4(2x + -3) + -2 Reorder the terms: 34 + -4x = 4(2x + -3) + -2 Reorder the terms: 34 + -4x = 4(-3 + 2x) + -2 34 + -4x = (-3 * 4 + 2x * 4) + -2 34 + -4x = (-12 + 8x) + -2 Reorder the terms: 34 + -4x = -12 + -2 + 8x Combine like terms: -12 + -2 = -14 34 + -4x = -14 + 8x Solving 34 + -4x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 34 + -4x + -8x = -14 + 8x + -8x Combine like terms: -4x + -8x = -12x 34 + -12x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -12x = -14 + 0 34 + -12x = -14 Add '-34' to each side of the equation. 34 + -34 + -12x = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -12x = -14 + -34 -12x = -14 + -34 Combine like terms: -14 + -34 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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