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Simplifying 4x + 6 + 3x + 24 = 8x + 13 Reorder the terms: 6 + 24 + 4x + 3x = 8x + 13 Combine like terms: 6 + 24 = 30 30 + 4x + 3x = 8x + 13 Combine like terms: 4x + 3x = 7x 30 + 7x = 8x + 13 Reorder the terms: 30 + 7x = 13 + 8x Solving 30 + 7x = 13 + 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. 30 + 7x + -8x = 13 + 8x + -8x Combine like terms: 7x + -8x = -1x 30 + -1x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -1x = 13 + 0 30 + -1x = 13 Add '-30' to each side of the equation. 30 + -30 + -1x = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 13 + -30 -1x = 13 + -30 Combine like terms: 13 + -30 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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