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Simplifying 5x + 66 = 2(x + 26) Reorder the terms: 66 + 5x = 2(x + 26) Reorder the terms: 66 + 5x = 2(26 + x) 66 + 5x = (26 * 2 + x * 2) 66 + 5x = (52 + 2x) Solving 66 + 5x = 52 + 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. 66 + 5x + -2x = 52 + 2x + -2x Combine like terms: 5x + -2x = 3x 66 + 3x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 66 + 3x = 52 + 0 66 + 3x = 52 Add '-66' to each side of the equation. 66 + -66 + 3x = 52 + -66 Combine like terms: 66 + -66 = 0 0 + 3x = 52 + -66 3x = 52 + -66 Combine like terms: 52 + -66 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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