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Simplifying 6x + -1(4x + 6) = 6x + -34 Reorder the terms: 6x + -1(6 + 4x) = 6x + -34 6x + (6 * -1 + 4x * -1) = 6x + -34 6x + (-6 + -4x) = 6x + -34 Reorder the terms: -6 + 6x + -4x = 6x + -34 Combine like terms: 6x + -4x = 2x -6 + 2x = 6x + -34 Reorder the terms: -6 + 2x = -34 + 6x Solving -6 + 2x = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 2x + -6x = -34 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = -34 + 0 -6 + -4x = -34 Add '6' to each side of the equation. -6 + 6 + -4x = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -34 + 6 -4x = -34 + 6 Combine like terms: -34 + 6 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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