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Simplifying -26 + 7x = 5(3x + 6) Reorder the terms: -26 + 7x = 5(6 + 3x) -26 + 7x = (6 * 5 + 3x * 5) -26 + 7x = (30 + 15x) Solving -26 + 7x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -26 + 7x + -15x = 30 + 15x + -15x Combine like terms: 7x + -15x = -8x -26 + -8x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -26 + -8x = 30 + 0 -26 + -8x = 30 Add '26' to each side of the equation. -26 + 26 + -8x = 30 + 26 Combine like terms: -26 + 26 = 0 0 + -8x = 30 + 26 -8x = 30 + 26 Combine like terms: 30 + 26 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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