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Simplifying 2(x + -3) + -1(x + -2) = 7 + -2(3x + 1) Reorder the terms: 2(-3 + x) + -1(x + -2) = 7 + -2(3x + 1) (-3 * 2 + x * 2) + -1(x + -2) = 7 + -2(3x + 1) (-6 + 2x) + -1(x + -2) = 7 + -2(3x + 1) Reorder the terms: -6 + 2x + -1(-2 + x) = 7 + -2(3x + 1) -6 + 2x + (-2 * -1 + x * -1) = 7 + -2(3x + 1) -6 + 2x + (2 + -1x) = 7 + -2(3x + 1) Reorder the terms: -6 + 2 + 2x + -1x = 7 + -2(3x + 1) Combine like terms: -6 + 2 = -4 -4 + 2x + -1x = 7 + -2(3x + 1) Combine like terms: 2x + -1x = 1x -4 + 1x = 7 + -2(3x + 1) Reorder the terms: -4 + 1x = 7 + -2(1 + 3x) -4 + 1x = 7 + (1 * -2 + 3x * -2) -4 + 1x = 7 + (-2 + -6x) Combine like terms: 7 + -2 = 5 -4 + 1x = 5 + -6x Solving -4 + 1x = 5 + -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. -4 + 1x + 6x = 5 + -6x + 6x Combine like terms: 1x + 6x = 7x -4 + 7x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 7x = 5 + 0 -4 + 7x = 5 Add '4' to each side of the equation. -4 + 4 + 7x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 5 + 4 7x = 5 + 4 Combine like terms: 5 + 4 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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