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Simplifying 5(-4 + 5x) + -1x = 34 + 6x (-4 * 5 + 5x * 5) + -1x = 34 + 6x (-20 + 25x) + -1x = 34 + 6x Combine like terms: 25x + -1x = 24x -20 + 24x = 34 + 6x Solving -20 + 24x = 34 + 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. -20 + 24x + -6x = 34 + 6x + -6x Combine like terms: 24x + -6x = 18x -20 + 18x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 18x = 34 + 0 -20 + 18x = 34 Add '20' to each side of the equation. -20 + 20 + 18x = 34 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 34 + 20 18x = 34 + 20 Combine like terms: 34 + 20 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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