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Simplifying 2(3x + -1) = 7 + -1(2x + -3) Reorder the terms: 2(-1 + 3x) = 7 + -1(2x + -3) (-1 * 2 + 3x * 2) = 7 + -1(2x + -3) (-2 + 6x) = 7 + -1(2x + -3) Reorder the terms: -2 + 6x = 7 + -1(-3 + 2x) -2 + 6x = 7 + (-3 * -1 + 2x * -1) -2 + 6x = 7 + (3 + -2x) Combine like terms: 7 + 3 = 10 -2 + 6x = 10 + -2x Solving -2 + 6x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x -2 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 8x = 10 + 0 -2 + 8x = 10 Add '2' to each side of the equation. -2 + 2 + 8x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 10 + 2 8x = 10 + 2 Combine like terms: 10 + 2 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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