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Simplifying 2x + -3(2x + -7) = 3(3x + -8) + 9x Reorder the terms: 2x + -3(-7 + 2x) = 3(3x + -8) + 9x 2x + (-7 * -3 + 2x * -3) = 3(3x + -8) + 9x 2x + (21 + -6x) = 3(3x + -8) + 9x Reorder the terms: 21 + 2x + -6x = 3(3x + -8) + 9x Combine like terms: 2x + -6x = -4x 21 + -4x = 3(3x + -8) + 9x Reorder the terms: 21 + -4x = 3(-8 + 3x) + 9x 21 + -4x = (-8 * 3 + 3x * 3) + 9x 21 + -4x = (-24 + 9x) + 9x Combine like terms: 9x + 9x = 18x 21 + -4x = -24 + 18x Solving 21 + -4x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 21 + -4x + -18x = -24 + 18x + -18x Combine like terms: -4x + -18x = -22x 21 + -22x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + -22x = -24 + 0 21 + -22x = -24 Add '-21' to each side of the equation. 21 + -21 + -22x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -22x = -24 + -21 -22x = -24 + -21 Combine like terms: -24 + -21 = -45 -22x = -45 Divide each side by '-22'. x = 2.045454545 Simplifying x = 2.045454545
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