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Simplifying 2x + 26 + 4x + 40 = 3x + 51 Reorder the terms: 26 + 40 + 2x + 4x = 3x + 51 Combine like terms: 26 + 40 = 66 66 + 2x + 4x = 3x + 51 Combine like terms: 2x + 4x = 6x 66 + 6x = 3x + 51 Reorder the terms: 66 + 6x = 51 + 3x Solving 66 + 6x = 51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 66 + 6x + -3x = 51 + 3x + -3x Combine like terms: 6x + -3x = 3x 66 + 3x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 66 + 3x = 51 + 0 66 + 3x = 51 Add '-66' to each side of the equation. 66 + -66 + 3x = 51 + -66 Combine like terms: 66 + -66 = 0 0 + 3x = 51 + -66 3x = 51 + -66 Combine like terms: 51 + -66 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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