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Simplifying 3(x + 2) + 5x + -1(x + -1) = -2x + 1 Reorder the terms: 3(2 + x) + 5x + -1(x + -1) = -2x + 1 (2 * 3 + x * 3) + 5x + -1(x + -1) = -2x + 1 (6 + 3x) + 5x + -1(x + -1) = -2x + 1 Reorder the terms: 6 + 3x + 5x + -1(-1 + x) = -2x + 1 6 + 3x + 5x + (-1 * -1 + x * -1) = -2x + 1 6 + 3x + 5x + (1 + -1x) = -2x + 1 Reorder the terms: 6 + 1 + 3x + 5x + -1x = -2x + 1 Combine like terms: 6 + 1 = 7 7 + 3x + 5x + -1x = -2x + 1 Combine like terms: 3x + 5x = 8x 7 + 8x + -1x = -2x + 1 Combine like terms: 8x + -1x = 7x 7 + 7x = -2x + 1 Reorder the terms: 7 + 7x = 1 + -2x Solving 7 + 7x = 1 + -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. 7 + 7x + 2x = 1 + -2x + 2x Combine like terms: 7x + 2x = 9x 7 + 9x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 9x = 1 + 0 7 + 9x = 1 Add '-7' to each side of the equation. 7 + -7 + 9x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 1 + -7 9x = 1 + -7 Combine like terms: 1 + -7 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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