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Simplifying 5x + -3(2x + -7) = 6(3x + -8) + 7x Reorder the terms: 5x + -3(-7 + 2x) = 6(3x + -8) + 7x 5x + (-7 * -3 + 2x * -3) = 6(3x + -8) + 7x 5x + (21 + -6x) = 6(3x + -8) + 7x Reorder the terms: 21 + 5x + -6x = 6(3x + -8) + 7x Combine like terms: 5x + -6x = -1x 21 + -1x = 6(3x + -8) + 7x Reorder the terms: 21 + -1x = 6(-8 + 3x) + 7x 21 + -1x = (-8 * 6 + 3x * 6) + 7x 21 + -1x = (-48 + 18x) + 7x Combine like terms: 18x + 7x = 25x 21 + -1x = -48 + 25x Solving 21 + -1x = -48 + 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. 21 + -1x + -25x = -48 + 25x + -25x Combine like terms: -1x + -25x = -26x 21 + -26x = -48 + 25x + -25x Combine like terms: 25x + -25x = 0 21 + -26x = -48 + 0 21 + -26x = -48 Add '-21' to each side of the equation. 21 + -21 + -26x = -48 + -21 Combine like terms: 21 + -21 = 0 0 + -26x = -48 + -21 -26x = -48 + -21 Combine like terms: -48 + -21 = -69 -26x = -69 Divide each side by '-26'. x = 2.653846154 Simplifying x = 2.653846154
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