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Simplifying 10x + -6 + 6x + -15 = x + 24 Reorder the terms: -6 + -15 + 10x + 6x = x + 24 Combine like terms: -6 + -15 = -21 -21 + 10x + 6x = x + 24 Combine like terms: 10x + 6x = 16x -21 + 16x = x + 24 Reorder the terms: -21 + 16x = 24 + x Solving -21 + 16x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 16x + -1x = 24 + x + -1x Combine like terms: 16x + -1x = 15x -21 + 15x = 24 + x + -1x Combine like terms: x + -1x = 0 -21 + 15x = 24 + 0 -21 + 15x = 24 Add '21' to each side of the equation. -21 + 21 + 15x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 24 + 21 15x = 24 + 21 Combine like terms: 24 + 21 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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