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Simplifying 3(x + 2) + -1(2x + 1) = 10 + -3(-1) + -4x Reorder the terms: 3(2 + x) + -1(2x + 1) = 10 + -3(-1) + -4x (2 * 3 + x * 3) + -1(2x + 1) = 10 + -3(-1) + -4x (6 + 3x) + -1(2x + 1) = 10 + -3(-1) + -4x Reorder the terms: 6 + 3x + -1(1 + 2x) = 10 + -3(-1) + -4x 6 + 3x + (1 * -1 + 2x * -1) = 10 + -3(-1) + -4x 6 + 3x + (-1 + -2x) = 10 + -3(-1) + -4x Reorder the terms: 6 + -1 + 3x + -2x = 10 + -3(-1) + -4x Combine like terms: 6 + -1 = 5 5 + 3x + -2x = 10 + -3(-1) + -4x Combine like terms: 3x + -2x = 1x 5 + 1x = 10 + -3(-1) + -4x Multiply -3 * -1 5 + 1x = 10 + 3 + -4x Combine like terms: 10 + 3 = 13 5 + 1x = 13 + -4x Solving 5 + 1x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 1x + 4x = 13 + -4x + 4x Combine like terms: 1x + 4x = 5x 5 + 5x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 5x = 13 + 0 5 + 5x = 13 Add '-5' to each side of the equation. 5 + -5 + 5x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 13 + -5 5x = 13 + -5 Combine like terms: 13 + -5 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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