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Simplifying 34 + -6(x + -3) = 4(9 + -1x) + -14x Reorder the terms: 34 + -6(-3 + x) = 4(9 + -1x) + -14x 34 + (-3 * -6 + x * -6) = 4(9 + -1x) + -14x 34 + (18 + -6x) = 4(9 + -1x) + -14x Combine like terms: 34 + 18 = 52 52 + -6x = 4(9 + -1x) + -14x 52 + -6x = (9 * 4 + -1x * 4) + -14x 52 + -6x = (36 + -4x) + -14x Combine like terms: -4x + -14x = -18x 52 + -6x = 36 + -18x Solving 52 + -6x = 36 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 52 + -6x + 18x = 36 + -18x + 18x Combine like terms: -6x + 18x = 12x 52 + 12x = 36 + -18x + 18x Combine like terms: -18x + 18x = 0 52 + 12x = 36 + 0 52 + 12x = 36 Add '-52' to each side of the equation. 52 + -52 + 12x = 36 + -52 Combine like terms: 52 + -52 = 0 0 + 12x = 36 + -52 12x = 36 + -52 Combine like terms: 36 + -52 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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