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Simplifying -5x + 6(x + 6) = 30 + 4x Reorder the terms: -5x + 6(6 + x) = 30 + 4x -5x + (6 * 6 + x * 6) = 30 + 4x -5x + (36 + 6x) = 30 + 4x Reorder the terms: 36 + -5x + 6x = 30 + 4x Combine like terms: -5x + 6x = 1x 36 + 1x = 30 + 4x Solving 36 + 1x = 30 + 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. 36 + 1x + -4x = 30 + 4x + -4x Combine like terms: 1x + -4x = -3x 36 + -3x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -3x = 30 + 0 36 + -3x = 30 Add '-36' to each side of the equation. 36 + -36 + -3x = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 30 + -36 -3x = 30 + -36 Combine like terms: 30 + -36 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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