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Simplifying 3x + -2(4x + 1) = x + 13 Reorder the terms: 3x + -2(1 + 4x) = x + 13 3x + (1 * -2 + 4x * -2) = x + 13 3x + (-2 + -8x) = x + 13 Reorder the terms: -2 + 3x + -8x = x + 13 Combine like terms: 3x + -8x = -5x -2 + -5x = x + 13 Reorder the terms: -2 + -5x = 13 + x Solving -2 + -5x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -5x + -1x = 13 + x + -1x Combine like terms: -5x + -1x = -6x -2 + -6x = 13 + x + -1x Combine like terms: x + -1x = 0 -2 + -6x = 13 + 0 -2 + -6x = 13 Add '2' to each side of the equation. -2 + 2 + -6x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 13 + 2 -6x = 13 + 2 Combine like terms: 13 + 2 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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