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Simplifying -34 + 6(x + 6) = -4(x + -3) Reorder the terms: -34 + 6(6 + x) = -4(x + -3) -34 + (6 * 6 + x * 6) = -4(x + -3) -34 + (36 + 6x) = -4(x + -3) Combine like terms: -34 + 36 = 2 2 + 6x = -4(x + -3) Reorder the terms: 2 + 6x = -4(-3 + x) 2 + 6x = (-3 * -4 + x * -4) 2 + 6x = (12 + -4x) Solving 2 + 6x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 6x + 4x = 12 + -4x + 4x Combine like terms: 6x + 4x = 10x 2 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 10x = 12 + 0 2 + 10x = 12 Add '-2' to each side of the equation. 2 + -2 + 10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 12 + -2 10x = 12 + -2 Combine like terms: 12 + -2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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