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Simplifying 5x + 12 + 2x + 24 = 8x + 19 Reorder the terms: 12 + 24 + 5x + 2x = 8x + 19 Combine like terms: 12 + 24 = 36 36 + 5x + 2x = 8x + 19 Combine like terms: 5x + 2x = 7x 36 + 7x = 8x + 19 Reorder the terms: 36 + 7x = 19 + 8x Solving 36 + 7x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + 7x + -8x = 19 + 8x + -8x Combine like terms: 7x + -8x = -1x 36 + -1x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -1x = 19 + 0 36 + -1x = 19 Add '-36' to each side of the equation. 36 + -36 + -1x = 19 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 19 + -36 -1x = 19 + -36 Combine like terms: 19 + -36 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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