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Simplifying 3(4x + -34) = 4 + -2(x + 5) Reorder the terms: 3(-34 + 4x) = 4 + -2(x + 5) (-34 * 3 + 4x * 3) = 4 + -2(x + 5) (-102 + 12x) = 4 + -2(x + 5) Reorder the terms: -102 + 12x = 4 + -2(5 + x) -102 + 12x = 4 + (5 * -2 + x * -2) -102 + 12x = 4 + (-10 + -2x) Combine like terms: 4 + -10 = -6 -102 + 12x = -6 + -2x Solving -102 + 12x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -102 + 12x + 2x = -6 + -2x + 2x Combine like terms: 12x + 2x = 14x -102 + 14x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -102 + 14x = -6 + 0 -102 + 14x = -6 Add '102' to each side of the equation. -102 + 102 + 14x = -6 + 102 Combine like terms: -102 + 102 = 0 0 + 14x = -6 + 102 14x = -6 + 102 Combine like terms: -6 + 102 = 96 14x = 96 Divide each side by '14'. x = 6.857142857 Simplifying x = 6.857142857
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