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Simplifying -6x + -15(x + 6) = -5(4x + 5) Reorder the terms: -6x + -15(6 + x) = -5(4x + 5) -6x + (6 * -15 + x * -15) = -5(4x + 5) -6x + (-90 + -15x) = -5(4x + 5) Reorder the terms: -90 + -6x + -15x = -5(4x + 5) Combine like terms: -6x + -15x = -21x -90 + -21x = -5(4x + 5) Reorder the terms: -90 + -21x = -5(5 + 4x) -90 + -21x = (5 * -5 + 4x * -5) -90 + -21x = (-25 + -20x) Solving -90 + -21x = -25 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -90 + -21x + 20x = -25 + -20x + 20x Combine like terms: -21x + 20x = -1x -90 + -1x = -25 + -20x + 20x Combine like terms: -20x + 20x = 0 -90 + -1x = -25 + 0 -90 + -1x = -25 Add '90' to each side of the equation. -90 + 90 + -1x = -25 + 90 Combine like terms: -90 + 90 = 0 0 + -1x = -25 + 90 -1x = -25 + 90 Combine like terms: -25 + 90 = 65 -1x = 65 Divide each side by '-1'. x = -65 Simplifying x = -65
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