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Simplifying 7(x + -2) + -2 = -6(-5x + 3) + -5x Reorder the terms: 7(-2 + x) + -2 = -6(-5x + 3) + -5x (-2 * 7 + x * 7) + -2 = -6(-5x + 3) + -5x (-14 + 7x) + -2 = -6(-5x + 3) + -5x Reorder the terms: -14 + -2 + 7x = -6(-5x + 3) + -5x Combine like terms: -14 + -2 = -16 -16 + 7x = -6(-5x + 3) + -5x Reorder the terms: -16 + 7x = -6(3 + -5x) + -5x -16 + 7x = (3 * -6 + -5x * -6) + -5x -16 + 7x = (-18 + 30x) + -5x Combine like terms: 30x + -5x = 25x -16 + 7x = -18 + 25x Solving -16 + 7x = -18 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -16 + 7x + -25x = -18 + 25x + -25x Combine like terms: 7x + -25x = -18x -16 + -18x = -18 + 25x + -25x Combine like terms: 25x + -25x = 0 -16 + -18x = -18 + 0 -16 + -18x = -18 Add '16' to each side of the equation. -16 + 16 + -18x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -18x = -18 + 16 -18x = -18 + 16 Combine like terms: -18 + 16 = -2 -18x = -2 Divide each side by '-18'. x = 0.1111111111 Simplifying x = 0.1111111111
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