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Simplifying 5x + -2x + 15 = 6x + 51 Reorder the terms: 15 + 5x + -2x = 6x + 51 Combine like terms: 5x + -2x = 3x 15 + 3x = 6x + 51 Reorder the terms: 15 + 3x = 51 + 6x Solving 15 + 3x = 51 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 3x + -6x = 51 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = 51 + 0 15 + -3x = 51 Add '-15' to each side of the equation. 15 + -15 + -3x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 51 + -15 -3x = 51 + -15 Combine like terms: 51 + -15 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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