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Simplifying 6x + -1(6 + 4x) = 36 + x 6x + (6 * -1 + 4x * -1) = 36 + x 6x + (-6 + -4x) = 36 + x Reorder the terms: -6 + 6x + -4x = 36 + x Combine like terms: 6x + -4x = 2x -6 + 2x = 36 + x Solving -6 + 2x = 36 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = 36 + x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = 36 + x + -1x Combine like terms: x + -1x = 0 -6 + 1x = 36 + 0 -6 + 1x = 36 Add '6' to each side of the equation. -6 + 6 + 1x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 36 + 6 1x = 36 + 6 Combine like terms: 36 + 6 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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