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Simplifying -1x + -1(13 + 4x) = 3(5 + -8x) + 12 -1x + (13 * -1 + 4x * -1) = 3(5 + -8x) + 12 -1x + (-13 + -4x) = 3(5 + -8x) + 12 Reorder the terms: -13 + -1x + -4x = 3(5 + -8x) + 12 Combine like terms: -1x + -4x = -5x -13 + -5x = 3(5 + -8x) + 12 -13 + -5x = (5 * 3 + -8x * 3) + 12 -13 + -5x = (15 + -24x) + 12 Reorder the terms: -13 + -5x = 15 + 12 + -24x Combine like terms: 15 + 12 = 27 -13 + -5x = 27 + -24x Solving -13 + -5x = 27 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -13 + -5x + 24x = 27 + -24x + 24x Combine like terms: -5x + 24x = 19x -13 + 19x = 27 + -24x + 24x Combine like terms: -24x + 24x = 0 -13 + 19x = 27 + 0 -13 + 19x = 27 Add '13' to each side of the equation. -13 + 13 + 19x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 19x = 27 + 13 19x = 27 + 13 Combine like terms: 27 + 13 = 40 19x = 40 Divide each side by '19'. x = 2.105263158 Simplifying x = 2.105263158
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