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Simplifying -2(3x + -2) + 7x = 6(5x + -3) + -7 Reorder the terms: -2(-2 + 3x) + 7x = 6(5x + -3) + -7 (-2 * -2 + 3x * -2) + 7x = 6(5x + -3) + -7 (4 + -6x) + 7x = 6(5x + -3) + -7 Combine like terms: -6x + 7x = 1x 4 + 1x = 6(5x + -3) + -7 Reorder the terms: 4 + 1x = 6(-3 + 5x) + -7 4 + 1x = (-3 * 6 + 5x * 6) + -7 4 + 1x = (-18 + 30x) + -7 Reorder the terms: 4 + 1x = -18 + -7 + 30x Combine like terms: -18 + -7 = -25 4 + 1x = -25 + 30x Solving 4 + 1x = -25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 1x + -30x = -25 + 30x + -30x Combine like terms: 1x + -30x = -29x 4 + -29x = -25 + 30x + -30x Combine like terms: 30x + -30x = 0 4 + -29x = -25 + 0 4 + -29x = -25 Add '-4' to each side of the equation. 4 + -4 + -29x = -25 + -4 Combine like terms: 4 + -4 = 0 0 + -29x = -25 + -4 -29x = -25 + -4 Combine like terms: -25 + -4 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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