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Simplifying 6x + 36 = x + 4(2x + 3) Reorder the terms: 36 + 6x = x + 4(2x + 3) Reorder the terms: 36 + 6x = x + 4(3 + 2x) 36 + 6x = x + (3 * 4 + 2x * 4) 36 + 6x = x + (12 + 8x) Reorder the terms: 36 + 6x = 12 + x + 8x Combine like terms: x + 8x = 9x 36 + 6x = 12 + 9x Solving 36 + 6x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 36 + 6x + -9x = 12 + 9x + -9x Combine like terms: 6x + -9x = -3x 36 + -3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + -3x = 12 + 0 36 + -3x = 12 Add '-36' to each side of the equation. 36 + -36 + -3x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 12 + -36 -3x = 12 + -36 Combine like terms: 12 + -36 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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