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Simplifying 2x + -3(7x + -3) = 8x + -1(7 + 2x) Reorder the terms: 2x + -3(-3 + 7x) = 8x + -1(7 + 2x) 2x + (-3 * -3 + 7x * -3) = 8x + -1(7 + 2x) 2x + (9 + -21x) = 8x + -1(7 + 2x) Reorder the terms: 9 + 2x + -21x = 8x + -1(7 + 2x) Combine like terms: 2x + -21x = -19x 9 + -19x = 8x + -1(7 + 2x) 9 + -19x = 8x + (7 * -1 + 2x * -1) 9 + -19x = 8x + (-7 + -2x) Reorder the terms: 9 + -19x = -7 + 8x + -2x Combine like terms: 8x + -2x = 6x 9 + -19x = -7 + 6x Solving 9 + -19x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + -19x + -6x = -7 + 6x + -6x Combine like terms: -19x + -6x = -25x 9 + -25x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -25x = -7 + 0 9 + -25x = -7 Add '-9' to each side of the equation. 9 + -9 + -25x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -25x = -7 + -9 -25x = -7 + -9 Combine like terms: -7 + -9 = -16 -25x = -16 Divide each side by '-25'. x = 0.64 Simplifying x = 0.64
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