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Simplifying -5x + 26 = 6x + -3(6x + 9) + 4 Reorder the terms: 26 + -5x = 6x + -3(6x + 9) + 4 Reorder the terms: 26 + -5x = 6x + -3(9 + 6x) + 4 26 + -5x = 6x + (9 * -3 + 6x * -3) + 4 26 + -5x = 6x + (-27 + -18x) + 4 Reorder the terms: 26 + -5x = -27 + 4 + 6x + -18x Combine like terms: -27 + 4 = -23 26 + -5x = -23 + 6x + -18x Combine like terms: 6x + -18x = -12x 26 + -5x = -23 + -12x Solving 26 + -5x = -23 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 26 + -5x + 12x = -23 + -12x + 12x Combine like terms: -5x + 12x = 7x 26 + 7x = -23 + -12x + 12x Combine like terms: -12x + 12x = 0 26 + 7x = -23 + 0 26 + 7x = -23 Add '-26' to each side of the equation. 26 + -26 + 7x = -23 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = -23 + -26 7x = -23 + -26 Combine like terms: -23 + -26 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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