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Simplifying 3(2x + 3) + -10x = 7 + -1(8x + -2) Reorder the terms: 3(3 + 2x) + -10x = 7 + -1(8x + -2) (3 * 3 + 2x * 3) + -10x = 7 + -1(8x + -2) (9 + 6x) + -10x = 7 + -1(8x + -2) Combine like terms: 6x + -10x = -4x 9 + -4x = 7 + -1(8x + -2) Reorder the terms: 9 + -4x = 7 + -1(-2 + 8x) 9 + -4x = 7 + (-2 * -1 + 8x * -1) 9 + -4x = 7 + (2 + -8x) Combine like terms: 7 + 2 = 9 9 + -4x = 9 + -8x Add '-9' to each side of the equation. 9 + -9 + -4x = 9 + -9 + -8x Combine like terms: 9 + -9 = 0 0 + -4x = 9 + -9 + -8x -4x = 9 + -9 + -8x Combine like terms: 9 + -9 = 0 -4x = 0 + -8x -4x = -8x Solving -4x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4x + 8x = -8x + 8x Combine like terms: -4x + 8x = 4x 4x = -8x + 8x Combine like terms: -8x + 8x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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