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Simplifying 4x + -8 + 15x = 13 + -2x + 21 Reorder the terms: -8 + 4x + 15x = 13 + -2x + 21 Combine like terms: 4x + 15x = 19x -8 + 19x = 13 + -2x + 21 Reorder the terms: -8 + 19x = 13 + 21 + -2x Combine like terms: 13 + 21 = 34 -8 + 19x = 34 + -2x Solving -8 + 19x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 19x + 2x = 34 + -2x + 2x Combine like terms: 19x + 2x = 21x -8 + 21x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 21x = 34 + 0 -8 + 21x = 34 Add '8' to each side of the equation. -8 + 8 + 21x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = 34 + 8 21x = 34 + 8 Combine like terms: 34 + 8 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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