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Simplifying -5(-6x + -5) + -5(7 + -6x) = -12 + 61x Reorder the terms: -5(-5 + -6x) + -5(7 + -6x) = -12 + 61x (-5 * -5 + -6x * -5) + -5(7 + -6x) = -12 + 61x (25 + 30x) + -5(7 + -6x) = -12 + 61x 25 + 30x + (7 * -5 + -6x * -5) = -12 + 61x 25 + 30x + (-35 + 30x) = -12 + 61x Reorder the terms: 25 + -35 + 30x + 30x = -12 + 61x Combine like terms: 25 + -35 = -10 -10 + 30x + 30x = -12 + 61x Combine like terms: 30x + 30x = 60x -10 + 60x = -12 + 61x Solving -10 + 60x = -12 + 61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61x' to each side of the equation. -10 + 60x + -61x = -12 + 61x + -61x Combine like terms: 60x + -61x = -1x -10 + -1x = -12 + 61x + -61x Combine like terms: 61x + -61x = 0 -10 + -1x = -12 + 0 -10 + -1x = -12 Add '10' to each side of the equation. -10 + 10 + -1x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -12 + 10 -1x = -12 + 10 Combine like terms: -12 + 10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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