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