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Simplifying 34 + -13x + -1(3x + -4) = 12x Reorder the terms: 34 + -13x + -1(-4 + 3x) = 12x 34 + -13x + (-4 * -1 + 3x * -1) = 12x 34 + -13x + (4 + -3x) = 12x Reorder the terms: 34 + 4 + -13x + -3x = 12x Combine like terms: 34 + 4 = 38 38 + -13x + -3x = 12x Combine like terms: -13x + -3x = -16x 38 + -16x = 12x Solving 38 + -16x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + -16x + -12x = 12x + -12x Combine like terms: -16x + -12x = -28x 38 + -28x = 12x + -12x Combine like terms: 12x + -12x = 0 38 + -28x = 0 Add '-38' to each side of the equation. 38 + -38 + -28x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -28x = 0 + -38 -28x = 0 + -38 Combine like terms: 0 + -38 = -38 -28x = -38 Divide each side by '-28'. x = 1.357142857 Simplifying x = 1.357142857
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