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Simplifying 2(x + -1) + -1(2x + 7) = x + 3(1 + -3x) Reorder the terms: 2(-1 + x) + -1(2x + 7) = x + 3(1 + -3x) (-1 * 2 + x * 2) + -1(2x + 7) = x + 3(1 + -3x) (-2 + 2x) + -1(2x + 7) = x + 3(1 + -3x) Reorder the terms: -2 + 2x + -1(7 + 2x) = x + 3(1 + -3x) -2 + 2x + (7 * -1 + 2x * -1) = x + 3(1 + -3x) -2 + 2x + (-7 + -2x) = x + 3(1 + -3x) Reorder the terms: -2 + -7 + 2x + -2x = x + 3(1 + -3x) Combine like terms: -2 + -7 = -9 -9 + 2x + -2x = x + 3(1 + -3x) Combine like terms: 2x + -2x = 0 -9 + 0 = x + 3(1 + -3x) -9 = x + 3(1 + -3x) -9 = x + (1 * 3 + -3x * 3) -9 = x + (3 + -9x) Reorder the terms: -9 = 3 + x + -9x Combine like terms: x + -9x = -8x -9 = 3 + -8x Solving -9 = 3 + -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. -9 + 8x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 8x = 3 + 0 -9 + 8x = 3 Add '9' to each side of the equation. -9 + 9 + 8x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 3 + 9 8x = 3 + 9 Combine like terms: 3 + 9 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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