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Simplifying 6x + -3(4x + -5) = 5(9 + -1x) Reorder the terms: 6x + -3(-5 + 4x) = 5(9 + -1x) 6x + (-5 * -3 + 4x * -3) = 5(9 + -1x) 6x + (15 + -12x) = 5(9 + -1x) Reorder the terms: 15 + 6x + -12x = 5(9 + -1x) Combine like terms: 6x + -12x = -6x 15 + -6x = 5(9 + -1x) 15 + -6x = (9 * 5 + -1x * 5) 15 + -6x = (45 + -5x) Solving 15 + -6x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + -6x + 5x = 45 + -5x + 5x Combine like terms: -6x + 5x = -1x 15 + -1x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + -1x = 45 + 0 15 + -1x = 45 Add '-15' to each side of the equation. 15 + -15 + -1x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 45 + -15 -1x = 45 + -15 Combine like terms: 45 + -15 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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