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Simplifying 15x + 7 = 2(3x + 26) Reorder the terms: 7 + 15x = 2(3x + 26) Reorder the terms: 7 + 15x = 2(26 + 3x) 7 + 15x = (26 * 2 + 3x * 2) 7 + 15x = (52 + 6x) Solving 7 + 15x = 52 + 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. 7 + 15x + -6x = 52 + 6x + -6x Combine like terms: 15x + -6x = 9x 7 + 9x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 9x = 52 + 0 7 + 9x = 52 Add '-7' to each side of the equation. 7 + -7 + 9x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 52 + -7 9x = 52 + -7 Combine like terms: 52 + -7 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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